A lot of them require long term tapping on the screen. Ever heard of the term "Cramping Middle Finger"?
hahaha did u experiance it urself? when i play a game i have never played for long, its not good for your eyes...
My favorite is Galaxy On Fire2, since you can use almost maxed out your phone/tablet hardware capability when you set control in Accellerometer, and try your best not to get REKT in a middle of a Dangerous system's station fight by accidentally hit the local security patrol, eslecially in an offensive intend of the local security( when they launch an equal number of ships toward the pirate/ opposite faction and trying to eliminate the enemies, which make you take a real beating since you have to dogde fight while avoid friendly friendly fire). Next one is Anomaly Series( pirated version of course). Especially Anomaly2, since Anomaly 2 Online function almost like crap since the the campgain took most of your enjoyment of the game anyway. And hopefully your memories storage was enough since their memories requirement for each is above 960 MB storage size.
you can play the horror game "the school: white day" It is over 1gb tho.... but it only uses internet connection to load the game and your save point. While you play the game it doesn't use internet data. it's puzzle/action/romance game all in one. There is multiple endings. the art is nice and they even have voice actors