Well for those quick games to kill some time while waiting for someone, being on a queue or a ride on the bus and similar situations I like platformers and puzzle games. Mario bros, Solitaire, Tetris, Mutant Mudds, etc.
If I am playing a pokemon tite at the time, I like to use those small spare moments to grind more experience for my pokemons.
If you meant what games I spend more time playing then Zelda games for sure. I really like taking my time exploring each corner and trying to get reactions from the NPC to find rare dialogs and stuff.