I mostly play the shooters, light gun games, beat-em-ups, and fighting games. All the ones Goz mentioned work well. And anything that's an arcade port. I can't think of many that don't work well with arcade controls.
Games like Rez, Mr. Driller, Puyo Puyo and Cosmic Smash play well too.
The ones that don't play well with arcade controls are games like Tomb Raider Chronicles, Rayman 2, Shenmue, MDK2, RPGs, and sports games. I prefer to play racing games with a wheel or original controller.
-pmc