for true performance /track i would do a 195-205/50r15 if you just have the standard spring drop. this decreases the flex but still has plenty of sidewall for road conditions.it is also a good diameter in relation to stock for +1".
If you want all out performance 17" is too big for our car. They look ok and are runnable though.
A 16 can be done, i ran 16's last year in autocross on my aveo, with a 205/40r16 tire. Thats a little less side wall than optimum for tracking, but they worked well. a 205-215/45r16 would be good with a standard spring drop.
depending on what you are doing to the car, for autocross i would actually do a 13X8-9" wheel (if it will fit over the front brakes?) and then run a 215/50r13 v710.
wheel/tire combos are different for different circumstances.. for regular everyday summer and because i have more drop, i am using a 195/45r15. but i am staggered with my low offset rear wheels,
but i have 2-4 sets of wheels/tires for each of my cars typically.