Great... If worked on
There's a base for a great game, but this current version lacks a few things... There's only one music, and it's in loop, so makes things repetitive. Adding a few more and shuffling wouldn't be bad.
Changing the sound for when you hit the platform for something a little less aggressive. Sounds like a grand piano falling on concrete, how about something more like a small smiley on grass?
I don't like the idea of "levels". If you use them to control the speed of the platforms, just hide the notifier. Score should be enough to see how well you did. Also, don't reset the scores if you die!
Removing the "ghost platform" upgrade would be nice, and then making spikes or something on the bottom of the screen. Trying to avoid both edges would be more challenging and fun than just pointless dropping.
If you'd fancy checking out, there's a game called "Bouncedown", on FunOrb. It's very similar, and you might get a few ideas from there.
Good luck on future games!