Honda S2000, used can be had for $17-$20. It is a driver's car. Just keyless, power windows/locks and one of the quickest folding tops for a convertible. 0-60 ranges from 5.8-6.2 depending how rough you are.
The best manual shifter on the planet will just make the driving experience even more fun. Tight chassis and very nimble. 240hp, high redline, 6sp manual, front engine, rear wheel drive. All with Honda reliability.
2002+ have rear glass windows, 2004+ have a 2.2 engine with better torque and lower redline of 8k down from 9k. The 2004+ also have minor interior and exterior features
2006+ have drive by wire throttle, traction control, and revised wheels/seats. With 2004+ engine and gears