Cobra Mobile's Mouse About [App Store] is one of those games.
At its core Mouse About is a simple puzzle game in which you control Marv the mouse. Your goal is to eat all food on the screen and not fall off. You set Marv in motion by swiping your finger on the screen, but he won't stop unless he hits food, an obstacle or the edge of the screen. Each level is played against the timer. If you run out of time or fall off the screen, you lose a life.
The game features randomly generated levels of increasing difficulty, so should provide you with plenty of gameplay.
The graphics, animation and soundtrack to this $2.99 title make it worth a serious look. The screenshots really don't do the game justice, so it's best to watch the embedded video:
App Store Link: Mouse About