Super Mario World? Gradius 3? Both released around the same time. Or DKC2, love that game. Or Super Castlevania IV. I didn't check the release dates for all of these, I'm not really sure if any of them count as playing regularly. I don't play older games (pre-3D) *that* much anymore, but when I do, it's usually SNES. Usually not any particular game though, and it's hard to remember offhand which ones I play more than others, I just play whatever I'm in the mood for. Or a random Sega Genesis shmup, but I don't play any single one of those with any regularity. Maybe Zero Wing cause the soundtrack is so catchy.
Edit: Most people have probably heard part of this song but may never have heard the full thing. It gets really good in the second half.