Visual Novel would be a good addition for sure.
While we're at it, how about some consideration for...
Digital Board Game
FMV (Full Motion Video) & QTE (Quick Time Event) for games like Sewer Shark, Dragon's Lair or the TellTale Walking Dead games
Light Gun Shooter could be modified to Light Gun/Rail Shooter
Multi-Game Compilation (for titles like Taito Legends and Namco Museum)
Rhythm and Reflex (or combine Rhythm with Exercise for Rhythm/Exercise)
RPG (Action)
RPG (Tactical)
Open World Sandbox might be a good fit if for games like GTA, Watchdogs, Saints Row and Red Dead. I would think those games are a bit more defined than just "Action" and "Adventure". Anything else sound good?