World of Goo is a physics based puzzler that costs $4.99 and has zero in app purchases. The goal of the game is to build structures from balls of goo strung together to solve a puzzle. Each level has unique problems to solve as well as new visual and music themes.
Puddle is a physics puzzle game that costs $0.99 and has zero in app purchases.
Save My Telly is a completely free physics based puzzle game that also has zero advertisements.
Where's My Water? is the first game in the 'Where's My' puzzle series made by Disney, and while a sequel has been released, the first game is still considered one of the best puzzle-physics game on the App Store.
Osmos HD is a physics based puzzler that costs $2.99 and has zero in app purchases.
Brain It On! is a free-to-play puzzle game where physics are essential to solving the puzzles. The player is presented with a couple of different physics problems, and it's up to you and your drawings to complete the level.
X Construction is a physics based puzzler that costs $1.49 and has zero in app purchases.
Leo's Adventure is a typical platformer game which features hand-crafted levels and a storytelling component.
Angry Birds is physics puzzler that is free to play and has in app purchases.