NO DASH PANEL LIGHTS

the dash has a dimmer, this is dash park lights
and runs all radio back lights.
so if the dial is low, its dark
if the dash cluster glows good the dimmer is ok
and the wire to the radio called, dial

on after market radios its the orange wire. not 12v, its dead.
http://knowledge.sonicelectronix.com/car-audio-and-video/accessories-and-installation/wiring-harness-color-standards/

suzuki uses different colors.
turn on parks, with a voltmeter measure 12vdc at DIAL wire.
at radio.
0v bad, 12v good, if 12v then radio lamps are Blown out.

sounds silly but did you try using the dimmer switch, either the light or on the dash usually on the left. litlle wheel that dims the dash and radio lights.

Hi there:
Check this on 1998 Chevrolet S10 Blazer Car Stereo Radio Wiring Diagram:

Car Radio Constant 12v+ Wire: Orange
Car Radio Switched 12v+ Wire: Dark Green
Car Radio Ground Wire: Black
Car Radio Illumination Wire: Gray
Car Stereo Dimmer Wire: Violet/White
Car Stereo Antenna Trigger: N/A
Car Stereo Amp Trigger Wire: N/A
Car Stereo Amplifier Location: N/A
Front Speakers Size: N/A
Front Speakers Location: N/A
Left Front Speaker Positive Wire (+): Tan
Left Front Speaker Negative Wire (-): Gray
Right Front Speaker Positive Wire (+): Light Green
Right Front Speaker Negative Wire (-): Dark Green
Rear Speakers Size: N/A
Rear Speakers Location: N/A
Left Rear Speaker Positive Wire (+): Brown
Left Rear Speaker Negative Wire (-): Yellow
Right Rear Speaker Positive Wire (+): Dark Blue
Right Rear Speaker Negative Wire (-): Light Blue

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According to autozone online, there are two black wires for ground, a dark green to key power, orange to batt power, gray to dash lights, dark blue and dark green to steering wheel controls when equipped, a purple-while for light dimmer and gray to computer data link.
The dark green that has voltage powers the radio and the orange is for the station memory. The gray wire with power when the dash lights are on is for the radio light.

Most cars have the dash light wire in the wires going to the radio. Did you use a store bought adapter the plugs into the honda wire harness to connect the radio? Idf not you may have the dash light wire grounded with the radio and it's blown the dash light fuse. first unplug the radio. then go though the fuse and find the blown one under the dash fuse panel. Replace the fuse.( if their not uswed up the fuse panel has extra fuses and thier marked as spares). try the dash lights, if their workingyou need to find the wire at the radio and make sure it"s not being connected to ground. You might need to use a test light to look for power and when you find it turn the lights on and off the be shure that you have the right wire. If it's still not working you may need to investagate the dash light dimmer swich that turns the brightness up and down to the dash lights. The overload as the radio was connected possibly wrong can blow this switch instead of blowing the fuse. The swich pries out of the dash and you can test it withthe test light. One wire is ground ones the power from the dash panel fuse coming from the headlight switch and the other is the lights thems selves. This switch it'self lights in the dark, so it has a ground for it's bulb.

do they stay on?

1998 Chevrolet S10 Pickup Stereo Radio Wiring Diagram.
Radio Constant 12V+ Wire: Orange
Radio Switched 12V+ Wire: Yellow
Radio Ground Wire: Black
Radio Illumination Wire: Gray
Radio Dimmer Wire: Brown
Radio Antenna Trigger Wire: N/A
Radio Amp Trigger Wire: N/A
Front Speakers Size: 4′ x 6′
Front Speakers Location: Dash
Left Front Speaker Wire (+): Tan
Left Front Speaker Wire (-): Gray
Right Front Speaker Wire (+): Light Green
Right Front Speaker Wire (-): Dark Green
Rear Speakers Size: 4′ x 10′
Rear Speakers Location: Side Panels
Left Rear Speaker Wire (+): Brown
Left Rear Speaker Wire (-): Yellow
Right Rear Speaker Wire (+): Dark Blue
Right Rear Speaker Wire (-): Light Blue

I had a similar problem with my 2002 Taurus. I removed the dash and pulled out the display behind the steering wheel. I reseated all the light bulbs behind the display. Everything has worked fine since. You will find more info on how to do this if you search the internet.

I am not sure if you mean the dash lights or just the radio display
cause there was some models with small bulbs behind the dash and you had to replace the bulbs and some of them you had to replace the cluster and if you have to replace it and you go to a salvage yard look at the date just inside the drivers door and find one as close to that date as you can and it should work and as for the radio there is a bulb behind the radio

What year is this vehicle? It might have an ambient light sensor that has failed if it's 90's+,but older it's most likely the dimmer switch. If it's early 80's you should be able to replace it w/o having to removed the dash,just small panel cover nearby.