The port of the original XCOM:UFO Defence was supposed to be rather good.
The Spyro Series
The Gex Series
Vagrant Story
Fighting Force series (mainly the first one)
Twisted Metal 1-3
Test Drive Offroad 3
Mortal Kombat Trilogy
Spiderman series
Strider series
LSD Dream Emulator
Umihara Kawase Shun
Centipede
Akuji the Heartless
Duke Nukem Time to Kill
Vigilante 8
Need for Speed & Gran Turismo games, Destruction Derby 2, Rayman
Try some of the classic arcade game remakes, like Qbert, Pong, Centipede, and Frogger (there are more but these ones are my favorites, played them a ton as a kid).
Not many people seem to know about them yet they're really great. They take old arcade games and build on them, adding more complex levels and features, yet the games are kept simple enough to just pick up and play for some fun.
Does Chrono Trigger count? It was sort of an FF spinoff but it was definitely a solid title, one of the best games I've ever played.