Like others have said, drop in a low milege 3800, buy a turbo kit for it and built trans , you can do all that for under $5k . OR you can just drive the car as a DD and get a toy , along the lines of cars others have listed, or just go all out and buy a 2jz Supra Twin Turbo? or a Skyline ? But to expect a "fast" or even quick car out of a 4dr car with an under powered motor , is like expecting Megan Fox to just wonder up to your door, looking for a cup of sugar .... It Just Wont Happen lol
Look on Craigs list , you could even get yourself a nice Honda for cheap and slap a turbo on that and beat the majority of cars you see on the road daily, for cheap, or something awd like a wrx,sti,A4 or S4, Evo, GSX,TSI, ( Since you need a DD owning a DSM ) .
The path you decide to take is yours , just my :2cents: though .
Chi_Town