If you liked Braid, you may enjoy Terry Cavanaugh’s game VVVVVV. It’s also a platformer that is built around one core interaction, iterating on that piece of gameplay and exploring variations. In VVVVVV you will die a lot, but the penalty for death is extremely low, so it’s no big deal.
There’s a free demo (in downloadable and web-based versions). Here’s the link again.