Far enough to play the Street Fighter Alpha series, 2nd Impact, and the Street Fighter EX series. The older street fighter games were godlike (except for the game that made DSP win a tournament becaues it's a bad port). There's also Darkstalkers, Marvel vs Capcom 1 and 2, Samuria Showndown, KOF MAXIMUM IMPACT, Guilty Gear 2, Jojo Heritage to the future, so many great fighting games. If I don't recall, the Dreamcast had some badass fighting games and JRPGS.
The Dragonball games on the Dreamcast and Ps1 were great. There's also Persona 2 innocent sin and Eternal Punishment on the Ps1