Hatch..! comes from Abhishek Malpani. The object is to slide the colored eggs to their nests.  Moving an egg to the wrong color: game over.
I've solved about 80 levels.  Not hard. They go very fast.  Definitely check out the list below if you like this genre.
https://itunes.apple.com/us/app/hatch/id1453968961"mt=8

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 
Zink - color merging and locked doors.
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 GameUnmind
Puzzle Dots Game
Box Home Love to play Hexagonal grid
Find the Way
Cube Puzzler

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