(i'm not big on mobile)
is super hexagon on mobile? I know it's on iOS. Check for super hexagon.
its on android. I got itn a humblebundle once.
One issue I always had was that most mobile games relied on sound to work. Superhexxagon isnt the same without the music. Same with the sword and sworcery EP and beat hazard.
Recently I've been playing swordigo, a platformer (but it's too hard for me) and looking for more / better games. Dynamite jack was pretty fun, but I'm still undecided on how much I can use it for my purposes.
Other than that, playing a turn-based game, (even using an emulator) is a great idea for me. I often get a few seconds of downtime, and it's hard to fit in anything else.