At first glance, I think Pachinko or Peggle, but what's unique here is that you don't decide where to drop the ball but get to use paddles instead (so combining Pachinko with Pinball. I liked that all the paddles rotated at the same time - it created an interesting challenge. However the fact that the paddles are moved using `transform.Rotate` instead of force or torque means that they more easily phase through the balls while they are rotating. This is probably the biggest flaw in the game, but to fix it is not necessarily straightforward. After some digging it seems like using hinge joints would be the best bet for a paddle-like simulation. Here's a 20-ish minute Youtube walkthrough of setting up hinge joints for a pinball game that you could probably translate into your game:
Also have a look at Ana's submission, which used paddles with joints!