I like this one the best. The user is “god”. They receive a world per swipe. If they tap, they unleash a plague onto their believers and increase piety. If their presence is detected, people stop and pray. Otherwise, they go about their business and build the world. If god swipes, they get another randomly generated set of believers moseying around 
This game is zoo: the user is given a set of animals they can swipe through. They need to figure out which interaction which will yeild a positive reaction from the creature given. pat the dog, let the snake setting down (here a negative interaction works). Stay where the bear can see you, or it will attack, etc.
A relaxing game where the user is given a zen garden. They tap to add or remove random features. They swipe to get a new garden. And their presence activates wind, rain, natural forces.