My long awaited post has arrived.
Hahahaha, I love you Black_Tiger
! Ok but seriously, here's my list (will try to be as non-cheesy as possible and pick titles that I think newcomers would enjoy):
HUCARDHorizontal Shooter: Air Zonk, Hana Taka Daka
Vertical Shooter: Blazing Lazers, Soldier Blade
Platformer: Bonk's Adventure, J.J. and Jeff
Arcade Conversion: R-Type, Parodius
Puzzle/Strategy: Military Madness, Chew Man Fu
Adventure: Dragon's Curse, Momo Tarou Katsu Geki
RPG: Double Dungeons, Necros no Yousai
ARPG: Cadash, Neutopia
Action Game (misc): Ninja Spirit, Bloody Wolf
Sports: World Class Baseball, Final Match Tennis
Driving: Final Lap Twin, Outrun
CDHorizontal Shooter: Gates of Thunder, Macross 2036
Vertical Shooter: Star Parodia, Sapphire
Platformer: Monster Lair, Dracula X
Arcade Conversion: Double Dragon II, Fatal Fury Special
Puzzle/Strategy: Panic Bomberman, Splash Lake
Adventure: Shape Shifter, Beyond Shadowgate
RPG: Cosmic Fantasy 2, Dragon Slayer: The Legend of Heroes
ARPG: Ys Book I & II, Ys IV: The Dawn of Ys
Digital Comic: Snatcher, J.B. Harold Murder Club
Action Game (misc): Shubibin Man 3, Last Alert
Sports: Kunio Soccer, Rom Rom Stadium (though I've never played it since Kunio Soccer is the only CD sports game I have played; this one looks good and recommendable though)
SUPERGRAFX:Any game (since titles are limited): Granzort
Paul, might I suggest adding a fighting section to the CD games since there are a good handfull of them?