There are 96 levels and I've solved about 55 of them. MindRoller is certainly not a new concept. But what I like about this game is that the levels are very well designed and the grid is so large.
What I don't like is that you need to get 3 stars for every level in order to advance.
Similar games (this list is incomplete):
Movez Pretty much the same as Block Mania but it has 1680 levels. I've solved 592 of them. That's probably enough.
Frozen Ice Cubes What's different: there's a point of 'no return'.
Escapology, reviewed by Nicola Salmoria. He told me about this game ages ago. I played it and enjoyed it, but never blogged about it.
Block Mania Similar to Movez
Move Puzzle - A Funny Strategy Game, Matching Tiles Within Finite Moves
Vubu What's different: the vubu men have different powers. Very sophisticated, very intelligent. Possibly the very best in this genre.
Move: A Brain Shifting Game