What are the best pay once and play forever-games for iOS?

The goal of the game is to find a way for the protagonists to evade the police agents, and to do that you must rearrange the animated comic book panels. Some stay in place, some can be moved, and some only flip around their axis. Every move means the main character's behavior changes, and so the action in one panel may be entirely different depending on what comes immediately before/after it.