1987 honda accord dash lights dont work

flashers and turn signals have separate flasher and separate fuse.

I would definitely start with a pgm-fi relay they are prone to failure.
they are however tucked way up under the dash

there is a fuel injection module under the dash.if you,remove the module and check the circuit board it will have broken solders in it. our shop has fixed alot of those..a hayne smanual will show you how to take it out....sorry i do not reply.

check the light switch on the stalk. Also check the relay it will be under the bonnet . Voltage should be supplied t0 the relay when light switch turned on and then relay should click on and voltage 12 v should be switched to the headlight from the switched relay contacts. Suspect worn light switch . You could run a wire from 12v to contact on relay that powers the coil on the relay to prove if relay works and switch is cause of your problem

Here is what i found.http://autorepair.about.com/library/firing_orders/bl-fo-11960.htm

This is most likely one of three things.
1. Your emergency break is not fully disengaged ... Pull the break lever all the way up and release it a few times ... sometimes things just get a little stuck. If your car seems to be fighting against moving, it could be that the breaks themselves are actually stuck ... and you should bring it to a mechanic to have your breaks checked SOON -- before the heat from over-worked breaks causes your rotors to warp, or overheats your breaking system and costs you a lot to fix.
2. You could have a bad emergency-break sensor -- so your car thinks the e-break is on when it is not. If you replace the sensor, you should be fine.
3. I don't think that Hondas actually come with a sensor to tell you if the break lights themselves are out of order (at least in a car from 1987) but I might be wrong. Have someone step on the breaks for you and make sure all of your lights work. This is not likely to be the problem, but it is worth a look before you spend money to fix something that is not broken. (If you live alone, you can also use a large rock or brick to hold the pedal down so you can check the lights ... just make sure the car is off so the rock doesn't slip to the gas pedal and put you or your engine at risk.

check all fuses under dash it mightt be a switch though

sounds like the problem i had with my 97 subaru the lights were out for the fan switch and buttons for heat postions, i had to replace all the bulbs they were burnt out.

check the fuel filter did you change the screen over the pick-up in the fuel tank

did you check the fuse in your fuse box. just refer to your instruction manual. maybe the fuse got short.. hope this could help.