I can list a few:
gameboy
1. Mole Mania (an action puzzle game by Shigeru Miyamoto)
2. Heinkyo Alien (a Pac-Man-esque game, although it originally came out a year before Pac-Man)
3. Ghostbusters II (a gameboy version of HAL's New Ghostbusters II)
4. Picross 2 (picture logic puzzles)
5. Mega Man IV/Rockman World 4 (closest thing to perfection for Classic series Mega Man in my opinion)
snes/super famicom
1. Zoop (weirdly addictive abstract puzzle game, was released on basically every relevant platform in 1995)
2. Super Tetris 3/Super Puyo Puyo 2 Remix (4 player battle mode)
3. Mighty Morphin Power Rangers: The Movie (Fun 1-2 player beat 'em up)
4. SmartBall (platformer)
5. Dragon Quest III (JRPG, translation would be needed, remake of NES Dragon Warrior III)
ds
1. Solatorobo: Red the Hunter (Action RPG)
2. Dragon Quest V: Hand of the Heavenly Bride (JRPG, remake of SNES Dragon Quest V)
3. Advance Wars: Days of Ruin (strategy game)
4. Dragon Quest Heroes: Rocket Slime (adventure game with tank battles)
5. Mega Man ZX (metroidvania adventure type game)
sega genesis/sega cd
1. Pulseman (platformer)
2. Rocket Knight Adventures (platformer)
3. Wiz 'n' Liz (platformer)
4. Mega Man: The Wily Wars/Rockman Mega World (compilation platformer, bonus game called Wily Tower)
5. Rise of the Dragon (graphic adventure, good substitute for Snatcher)
nes/famicom
1. Door Door (arcade style game)
2. Whomp 'Em (platformer, Mega Man style)
3. Dragon Warrior IV (JRPG)
4. Journey to Silius (platformer)
5. Tetris 2+Bombliss (compilation puzzle game)
virtual boy
1. Virtual Boy Wario Land (platformer)
2. Bound High (arcade style platformer)
3. Red Alarm (Shoot 'em up, not on rails like Star Fox)
4. Teleroboxer (first person fighting game)
5. V-Tetris (puzzle game)