Overhead console features will not lite up .The courtesy lamps do turn on

Which of these lamps do not work , ones that can be dimmed or ones that can't ?
Interior Lamps
The interior lamps consists of two groups, lamps that can not be dimmed and lamps that can be dimmed. This first group consists of lamps that may not be dimmed. This Includes those lamps that may be manually turned on by placing the interior lamp switch to the DOME position, or by opening a door or a compartment:
• Auxiliary dome lamp (SEO, RPO 6C7)
• Dome lamp
• Inside rear view mirror lamps
• Instrument panel (I/P) courtesy lamps
• Reading lamps
• Rear compartment courtesy lamp
• Sunshade vanity mirror lamps
Battery positive voltage is applied at all times to the driver information center (DIC)/remote keyless entry (RKE) fuse and to the switched side of the BATT RUNDOWN PROTECTION relay in the right I/P junction block. The DIC/RKE fuse supplies battery positive voltage to the coil side of the BATT RUNDOWN PROTECTION relay. When the ignition is turned to the ON position, the body control module (BCM) provides a ground to the courtesy lamp relay control circuit. This energizes the BATT RUNDOWN PROTECTION relay and applies battery positive voltage to I/P BRP fuse and to the TRK/ROOF/BRP fuse. Battery positive voltage is applied from the I/P BRP fuse to the I/P courtesy lamps and to the courtesy lamp supply voltage circuit to the BCM. Battery positive voltage is also applied from the TRK/ROOF/BRP fuse to the:
• Rear compartment courtesy lamp
• Dome lamp
• Inside rear view mirror lamps
• Roof rail/reading lamps assembly
• Sunshade vanity mirror lamps
If the BCM receives a door lock or unlock input signal, the BCM will activate the BATT RUNDOWN PROTECTION relay, which provides battery positive voltage to all interior courtesy lamps. When any door is opened, the door jam switch contacts close and the BCM receives a door-open input signal. The BCM then applies a ground to the interior lamp control circuit and to the courtesy lamp low control circuit illuminating the courtesy and dome lamps.
After all the doors are closed, the courtesy lamps remain illuminated for approximately 40 seconds. The courtesy lamps will also turn on and remain illuminated for approximately 15 seconds after the ignition key is removed, prior to any door being opened.
When the headlamp switch is placed in the DOME position, the BCM receives a ground signal. The BCM then applies a ground to the interior lamps control circuit. This illuminates the dome and roof rail lamps.
The courtesy lamps will normally turn off using the theater dimming feature. The BCM provides a pulse width modulated ground to all courtesy/reading, dome, and inside rear view mirror lamps for the theater dimming feature. The BCM will immediately turn off the courtesy lamps if a door lock command is received with all the doors closed, or if the ignition switch is turned to either the ON or RUN position.
The BCM activates the interior lighting output 15 seconds after receiving the class 2 message "Airbags Deployed" from the SDM. The interior lamps remain activated for 25 minutes.

Hooking up a factory or someother type of professional scan tool an checking for codes in the BCM - body control module could shed some light on the problem .
DTC B2655 Courtesy Lamp Low Control Circuit High
DTC B2654 Courtesy Lamp Low Control Circuit Low
The body control module (BCM) controls the courtesy lamps through the courtesy lamp low control circuit. The BCM grounds the courtesy lamp low control circuit which completes the interior lamps circuit, and the lamps illuminate.
DTC B2618 Courtesy Lamps Supply Voltage Circuit High
The body control module (BCM) controls the instrument panel (I/P) courtesy lamps through the courtesy lamps supply voltage circuit. The BCM grounds the courtesy lamps low control circuit which completes the I/P courtesy lamps ground circuit, and the lights illuminate.
DTC B2617 Courtesy Lamps Supply Voltage Circuit Low

The BCM supplies a ground to turn the lights on . One of the grounds for the BCM could faulty - lose , corroided etc. Looking at factory service info I see two ground points for the BCM - G201 & G203
G201
Under the I/P, to the right of the steering column, on the I/P support bracket

G203
Under the I/P, to the right of the steering column, on the I/P support bracket

could be a problem with the BCM

https://www.corvetteforum.com/forums/c6-corvette-general-discussion/1700828-help-rearview-mirror-lights-won-t-turn-off.html
This forum from corvette may shed some light on what to do.

From 2001 Chevy Venture manual:

This switch is located in the overhead console switchbank. Press the symbol on the bottom of the switch to override control of the interior lamps and turn off power to the courtesy lamps, reading lamps, visor vanity lamps (if equipped) and glove box lamp. This feature allows you to have the lamps off when any door is open. Press the top of the interior lamps override switch to turn power back on to the interior lamps. This will allow the lamps to stay on when any door is open.

The BCM receives battery voltage from the CTSY/RF TRN fuse in order to supply power to the courtesy lamps. The BCM applies this voltage to the courtesy lamps through the courtesy lamp supply voltage circuits. When any door is opened, the door open switch contacts close and the BCM receives a door-open signal. If the BCM receives a door lock or unlock signal, the BCM will activate the courtesy lamp supply voltage circuit, providing battery voltage to the dome lamps and the left and right footwell courtesy lamps. The courtesy lamps can be manually activated by placing the interior lamp switch in the DOME position. For more detailed information concerning courtesy lamp operation refer to Interior Lighting Systems Description and Operation.
The BCM receives battery voltage from the INT LAMPS fuse in order to supply power to the inadvertent courtesy lamps. Inadvertent power courtesy lamp feature provides a similar function for the interior lamps as a retained accessory power feature. The BCM will energize the courtesy lamps supply voltage circuit when the BCM is in the active state (awake). When the inadvertent power courtesy lamps supply voltage circuit is energized, it supplies voltage to all the interior lights listed below. The BCM will continue to supply voltage to the interior lamps after the ignition is turned OFF so that the interior lamps may be operated.

If the rear light on the other side goes on and off by pushing on the light then i would say the switch in the one that stays lit it either stuck or broken and may need to be replaced. i think you could stop by a body shop and they would be able to do it for less money that a Buick dealer would.

Overhead Console Lamp and Roof Rail Courtesy/Reading Lamps
The courtesy/reading lamp is a duel purpose lamp that can be illuminated two different ways. First, the lamp can be turned ON during courtesy lamp operation as described above. Second, the lamps can be turned ON individually for reading lamp operation by the lamp switch. The BCM supplies battery voltage from the INT LAMPS fuse through the inadvertent power courtesy lamps circuit to the courtesy/reading lamps for reading lamp operation only. Ground for the courtesy lamp module or the roof/rail reading lamps is provided at G402

Courtesy Lamps
When either one of the front doors is opened, ground is applied through the door latch door open switch and the door open switch signal circuit to the door module indicting the door open position. In response to this signal, the door module sends a GMLAN serial data message to the BCM of the door open position. Or, when either one of the rear doors is opened, ground is applied through the door latch door open switch and the rear door open switch signal circuit to the BCM is indicating the rear door open position. Once a door open message or signal received, the BCM will then apply battery voltage from the CTSY/RF TRN fuse through the courtesy lamp supply voltage circuits illuminating the lamps listed below:
• Overhead console lamp
• Roof rail courtesy lamps
• Footwell courtesy lamps The BCM receives battery voltage from the INT LAMPS fuse in order to supply power to the inadvertent courtesy lamps. Inadvertent power courtesy lamp feature provides a similar function for the interior lamps as a retained accessory power feature. The BCM will energize the courtesy lamps supply voltage circuit when the BCM is in the active state (awake). When the inadvertent power courtesy lamps supply voltage circuit is energized, it supplies voltage to all the interior lights listed below. The BCM will continue to supply voltage to the interior lamps after the ignition is turned OFF so that the interior lamps may be operated.
• Overhead Console Reading Lamps
• Roof Rail Reading Lamps
• Vanity Mirror Lamps
• I/P Compartment Lamp
• Rear Compartment Courtesy Lamp
In the event that any of these lamps were to remain illuminated for a period of more than 20 minutes with the ignition switch in the OFF position and no BCM input activity, the BCM will deactivate the inadvertent power supply voltage circuit to prevent a total battery discharge condition. The BCM receives battery voltage from the CTSY/RF TRN fuse in order to supply power to the courtesy lamps. The BCM applies this voltage to the courtesy lamps through the courtesy lamp supply voltage circuits. When any door is opened, the door open switch contacts close and the BCM receives a door-open signal. If the BCM receives a door lock or unlock signal, the BCM will activate the courtesy lamp supply voltage circuit, providing battery voltage to the dome lamps and the left and right footwell courtesy lamps. The courtesy lamps can be manually activated by placing the interior lamp switch in the DOME position. For more detailed information concerning courtesy lamp operation refer to Interior Lighting Systems Description and Operation.

Rear fuse box. INT LP 10 amp . there is also INT LP relay in the same rear fuse box .
Fuse Block - Rear
Under the rear seat, on the left side of the floor pan
The INT LP fuse in the fuse block - rear supplies battery positive voltage to the normally open switch contacts of the INT LP relay. The INT LP fuse also supplies battery positive voltage to the INT LP relay control circuit. The fuse block - rear also supplies battery positive voltage to the relay control circuit for the front courtesy lamp. The door modules communicate on a simple bus interface (SBI). When you open any door, the switch contacts of the door open switch close. When a door open signal circuit is grounded, that door module sends a message to the drivers door module (DDM) in order to indicate that a door is open. The DDM sends a class 2 message to the rear integration module (RIM) in order to indicate which door is open. The RIM activates the INT LP relay in order to provide battery positive voltage to the interior courtesy lamps. When any front door is opened, the RIM will energize the FRT CTSY lamp relay grounding the I/Pcourtsey lamps at G302. Depending on which doors are opened, front or rear, the proper interior courtesy lamps illuminate. The RIM provides a pulse width modulated ground to all interior courtesy lamps for the interior lights theater dimming feature. Some of the courtesy lamps are also used as reading lamps, each reading lamp may be manually turned on or off using it's own respective switch

this could be a door switch problem or a BCM problem. access the BCM for codes and data this will help. check to make sure the headlight switch for the interior lights is in the off position.

Hi Rich , what lights are you talking about ? Exterior Lighting , Interior Lighting ? It doesn't matter All lights are controlled by SJB smart junction box ! An you can't just stick in a used one , It will need to be programmed ! Interior Lighting The interior lighting system consists of the following components:

• Smart junction box (SJB)
• Dimmer control switch
• Interior/map lamps
• Cargo lamp
• Glove compartment lamp
• Vanity mirror lamps
• Door ajar switches
• Puddle lamps

The interior lighting system consists of 2 subsystems:

• Courtesy lamps
• Demand lamps

The courtesy lamps are controlled by the SJB. The courtesy lamp subsystem consists of the interior dome lamps, the puddle lamps and the overhead console lamps (if equipped). The SJB supplies voltage to the courtesy lamps when the SJB receives the required input.
The demand lamps are controlled by the SJB. The demand lamps subsystem consists of the glove compartment lamp, all map/reading lamps, and the left and right vanity mirror lamps.
The SJB supplies power to the interior lighting system. The SJB will set DTCs if certain circuit failures exist with the interior lighting system.
Exterior Lighting Headlamps
The headlamp system is a dual-beam pattern system. It consists of a low and high beam, with a replaceable bulb. The headlamp assembly has the park/turn indicator lamp integrated into the headlamp assembly. The smart junction box (SJB) supplies voltage to the headlamps when demanded.
Principles of Operation
The SJB receives inputs and delivers outputs to a majority of the electronically-controlled features of the vehicle. The SJB constantly monitors the systems under its control and reports a concern in the form of a DTC. The DTC can be retrieved with a scan tool through the medium speed controller area network (CAN) communication network.
NOTE: Prior to the removal of the SJB, it is necessary to upload the module configuration information to the diagnostic tool. This information must be downloaded to the new SJB after installation. For additional information, refer to Section 418-01 .

1. Using a thin bladed tool, carefully pry the lamp lens from the overhead console.
2. Using a thin bladed tool, carefully pry the metal shield inward until the retaining tabs clear the notches.
3. Remove the metal shield.
4. Remove the courtesy lamp bulb.