not for a full catback, unless its a ebay one, which more than likely will sound like shit. i recommend you hit up honda-tech.com and find a nice used catback, if you want something quiet, greddy evo 2, something loud, hks or buddy club.
Buy a vibrant muffler they have a great sound and then take it to a local muffler shop and have them make some piping for it. A mandrel bent exhaust system is a waste of money on an integra unless your motor is at least half built or your boosted. I have the same car as you do but a 92
Don't be a ricer. Do it right, or leave it stock. This kind of think is exactly why Hondas and Acuras have such horrible stigmas attached. "I want to spend $200 on my exhaust", and "I found a turbo kit on ebay. It's a .74 compressor, and it says I can bolt it to my stock motor."
Don't go the muffler shop special route. Those tend to sound like rice-cans. I would say Magnaflow is a good choice if they have something for your application. They aren't too crazy loud. I went with Invidia for my Accord, and although I saw good gains, and its very high quality stuff, its also obnoxiously loud. Doesn't sound so horrible for a 4 cylinder accord, but can't deny its loud as hell.