Hondas from that era have something called a main relay. What it does is provides power to the fuel pump when you turn on the car. These relays are prone to failing around 2 of the leads (there are 2 that are smaller than all the others).
I would check to see if the fuel pump is getting energized when you turn on the ignition. If its not, see if its getting voltage. The main relay is about $70 from a dealer, but you can also pop the thing open and just re-solder the 2 little leads to solve the problem.
If thats not it, the distributor is also a failure mode. My '93 went through 2 of them in 150k.