Shootstorm 2

Twist around a circle to shoot the craft as they fly out at you. A fast-paced arcade shoot-em-up with trippy graphics and single finger control.
Automatic fire allows you to focus on sliding your finger around the dial so that your ship will match the direction. If the shooting stops, you must dodge the incoming objects.
Unusually for this type of game, you will move onto the next level with a new life. This avoids you getting stuck on one particular level that you have trouble with.
New restart levels are unlocked after every 20 levels until 201, so that get straight to where your challenge is. You can choose a lower start level for new players. You will not see the option until level 21 or higher is unlocked.