Three Rings Design has created a game in which player skill matters, and where that skill doesn't involve fast reflexes. If you've spent too many hours playing Tetris or or any other pattern-matching puzzle game, you've got the skills for Puzzle Pirates.
Puzzle Pirates has a freemium model, with basic play free, but some aspects of the game requiring purchases to unlock. Some puzzles, for instance, are free on one day, but need a purchase to play them whenever you want.