Logitech is a brand you can trust, and I say this with 100% certainty after purchasing their wireless PS2 controller.
The controller works from up to 30 feet away from your PS2 system! How awesome is that? It's battery operated and requires 2 AA batteries, but if you buy rechargeable ones, you're set for life. They tend to last me a good 3 months or so before I need to recharge them, and I play for hours and hours.
Response time is excellent, just as if you're playing with a wired controller. This one also comes with the joysticks and vibration.
A PS2 controller is worth $25 and those aren't that great. I always find one of the 4 main buttons seem to lose responsiveness within a few months and only lasts 2 years tops before you need to replace it. I've had the Logitech controller for over a year now with no problems at all. All buttons work perfectly.
Doesn't matter the genre of game you're playing either - even if its a fast paced fighter - this controller keeps up. So what are you waiting for? Go buy a Logitech PS2 controller now! Well, if you still own a PS2. They're apparently still releasing games!