RPG: Star Ocean 2, Breath of Fire 3, Grandia 1 and 2, Chrono Trigger and Chrono Cross, Zelda link to the past, Secret of Mana, Final Fantasy 9, Skies of Arcadia, Legend of Heroes series (start with trails in the sky), Persona series (start with 4), FF Tactics series, Tactics Ogre series, Phantom Brave series
Fighting: Tekken 3, Soul Calibur, Rival Schools, Power Stone 1 and 2, SNK vs. Capcom
Racing: Ridge Racer series, Tokyo Xtreme racer series, Colin McRae rally series, Burnout Paradise, FlatOut series
Shooters: Mars Matrix, Einhander, Cotton series, Ikaruga, Bangai-o, Rez
Fps: Time splitters 2, Red Faction series, Quake series, anything in Orange Box, Rise of the Triad
Adventure: Beyond good and evil, Devil May Cry series, Gurumin, Sleeping Dogs, Syberia series
Platformer: Klonoa Series
I ran out of brain but maybe I'll add more when I wake up.
After all these years, Flatout series (made by Bugbear) just got new updates: workshop support, steam cards etc. some devs are just different and rare in today’s gaming world.
The biggest drawback that may offset the enjoyment of a lot of the 90s JRPG are the random encounters, and the "wait for bars to fill" systems that makes nothing happen for long periods of time by either side.