My list, off the top of my head:
Atari 2600
>1. River Raid
>2. Tomboy
>3. Jawbreaker
>4. Pacman
>A bunch of built-in shit I don't remember the names of
Gameboy
>1. Legend of Zelda: Link's Awakening
>2. SML3: Wario Land
>3. Tetris
>4. Megaman 3
I owned some other stuff too but they're not worth mentioning (e.g. Mortal Kombat and Spiderman XMen Arcade's Revenge)
NES
>1. Contra
>2. Super Mario Bros/Duck Hunt
>3. Bucky O' Hare
>4. Chip N Dale Rescue Rangers
>5. Little Nemo: Dream Master
Before I got my NES with the above games I had one of those famiclones that breaks in a month with loads of built-in stuff but I forgot what they were.
SNES
>1. Super Mario World + All Stars
>2. Donkey Kong Country 1&2
>4. Robocop VS The Terminator
>5. Super Mario Kart
>6. Turtles In Time
>7. Return of Double Dragon
>8. True Lies
>9. F Zero
>10. The Lion King
>Honourable Mention: UMK3
Genesis
>1. Sonic, Sonic 2, Sonic 3&K
>4. WWF Wrestlemania
>5. MKII
>6. Streets of Rage 2
>7. Comix Zone
>8. Demolition Man
N64
>1. Mario Kart 64
>2. Super Smash Bros
>3. Super Mario 64
>4. LoZ: Ocarina of Time
>5. Star Fox 64
>6. WCW/nWo Revenge
>7. GoldenEye
>8. Perfect Dark
>9. FZero X
>10. Resident Evil 2
Yes I am just looking for new games to play but this can always lead to interesting discussion, too. Hope you can help. Doesn't have to only be the above consoles, can be any retro console you played.
Had to rewrite damn near my whole list before posting because I noticed at the last second you said non-RPGs.
Atari 7800
>1 Ms. Pacman
>2 Galaga
>3 Asteroids
NES
>1 Super Mario 3
>2 Paperboy
>3 Bubble Bobble
Gameboy
>1 DragonHeart
>2 Link's Awakening
>3 Kid Icarus
SNES
>1 SimCity
>2 Zombies Ate My Neighbors
>3 Hook
Playstation
>1 Resident Evil 2
>2 Spyro the Dragon
>3 Oddworld: Abe's Oddysee
Genesis
>1 NBA Jam
>2 Spider Man
>3 Jurassic Park
Game Gear
>1 Sonic Chaos
>2 X-Men: Gamesmaster's Legacy
>3 Mighty Morphin' Power Rangers
N64
>1 Star Wars: Shadows of the Empire
>2 Mario Kart 64
>3 Conker's Bad Fur Day
>PCE
Seirei Senshi Spriggan
Alien Crush
Castlevania: Rondo of Blood
>Genesis
Monster World IV
Alien Soldier
Contra Hard Corps
>SNES
Donkey Kong Country 2
ActRaiser
Jikkyou Oshaberi Parodius
>Playstation
Looney Tunes: Sheep Raider
Bloody Roar 2
Mega Man X4
>N64
Custom Robo V2
F-Zero X
Banjo-Kazooie
>Saturn
Panzer Dragoon
Rayman
Astal
>Dreamcast
Outtrigger
Power Stone 2
Rayman 2
>>4118979
>Bloody Roar 2
My nigger.
NES
>Mega Man 2, 3, 6
>Spartan X
>Mario 1, Mario USA
>Wai Wai World 2
Master System
>Land of Illusion
>Castle of Illusion
>Alex Kidd in Shinobi
>Black Belt
PC Engine (one of my favorites)
>Bonk 1, 2
>Galaga 88
>Liquid Kids
>New Adventure Island
>Soldier Blade
>Parasol Stars
>Super Dodgeball
>Mr Heli
>Salamander
>Air Zonk
>Legendary Axe
>Bomberman 93, 94
PC Engine CD
>Rondo of Blood
>Tenchi Wo Kurau
>River City Ransom
>Rainbow Islands
>Gate of Thunder
Genesis
>Chiki Chiki Boys (also like it on PCE)
>Strider
>Mega Turrican
>Sonic 1, 2, 3&K
>Garfield (Ironic)
>Castlevania Bloodlines
Sega CD
>Sonic CD
N64 (another favorite, mainly due to multiplayer)
>Mario 64
>Ridge Racer 64
>Majora's Mask
>Banjo Kazooie
>Sin and Punishment
>Mortal Kombat 4
Splatterhouse and all Shinobi games
Every other game is dumb