I have a 94 LS and my power windows are great. Just watch you're honda coolant temp sensors and I've heard radiators (but i haven't had a problem). Leaks from sunroofs can get nasty if leaves get caught in it and rot. Factory speakers are nasty but when are they not. Condesation in taillights is common but not really a problem. Thats about all the Integra Problems i can think of off the top of my head. But Integras are incredible cars. They're cheap, fun to drive and Honda makes the best engine out there IMO. They're fairly common so see if you can find someone that has one and will let you drive it around for a while.

BTW, I got mine for 4,000 flat and its had about 120,000 on it. I might sell it later and get a newer one with fewer miles and VTEC to smooth the powerband.