You can get a V6 4th gen Camaro for $1500-$2000. The 3800 isn't necessarily fast, but it'll keep up with most of the Hondas recommended in here. The handling on a 4th gen Camaro is actually pretty good. If you get a good deal, you could even find an LT1 V8 4th gen Camaro for your price range.

*Edit - Insurance'll kill you on the LT1 more than likely though.