Langriser or it's similar clone Advanced Wars on a bigscreen console or PC. Theres a distinct shortage of quality simple TRPGs, as the few that are available are on handhelds plus are heavily stat based with RPG grinding. I prefer my TRPGs to be simple chess like games. Might And Magic: Clash of Heroes of another such game (so is the original Shining Force)
Also
Wipeout, F-Zero, Panzer Dragoon Orta, Sin & Punishment, Zone Of Enders, Quake / Doom Single Player /MP, SoulReaver, Age of Wonders, Homeworld, Akia Katana, Dust an Eysian Tail, Aquaria, Noitu Love, Gradius, Outland, Ys (on PC), Skull Girls, Hogs of War, 2D Castlevania, Contra & Metroid
Also Wartech: Senko No Ronde, Virtual-Ontaro, Twinkle Star Sprites which are all unique 1 VS 1 fighter / shmup hybrids that deserve to be popular as Street Fighter 4 and Halo MP.
EDIT
Also Beat 'em ups like Streets of Rage, Golden Axe & Guardian Heroes in REAL 2D spritework not the crappy 3D modelling like Double Dragon XBLA is.