Photuzzle (2012) New Android puzzle game-app, 4 stars
Levels - Android
There are 8 levels of difficulty. The lowest level, 5-10 pieces, is great for kids or very casual players. The expert level, 80 pieces, is not for the faint of heart! I prefer the intermediate, 40 pieces. Third, the player chooses the type of puzzle. This can be jigsaw or slider. If you'd like to race against the clock, there are also timed and un-timed modes.
Warning: slider puzzles with a lot of pieces are very challenging! Here's one feature I really love. If you're in the middle of a puzzle and have to stop, you can save your progress and continue it later.
Anyway, Photuzzle is a lot of fun. It makes it easy to set up custom puzzles and plenty of options allow for tons of possibilities.
iPhone/iPod touch: Not available yet
Android: Free, download Photuzzle free here
Photuzzle Video (HD)