Nuruomino (aka LITS)

[from Wikipedia]

1. Shade a tetromino on each area, such that:
2. Every pair of orthogonally adjacent tetrominoes are not equal (considering rotations and reflections),
3. The shaded cells are all orthogonally contiguous and contain no 2×2 square tetrominoes as subsets.

Solution:

edit: A related game is 2011's Battle of Lits by Grant Fikes.