Dimensions

Dimensions is a three-dimensional tic-tac-toe variant, but a somewhat unusual one. The play area consists of four 4x4 stacked boards. On a turn a player generally places a chip on an empty square, but instead a player can choose to rotate one of the top three boards by a quarter-turn. Players score points any time three or four of their pieces form a line, with more points for rows of four and for rows which cross levels.

Similar to:

Qubic - Played on 4x4x4 cube (4x4 grid with 4 layers) but without turning layers
Score Four - 4x4 grid of pegs that are filled from the bottom up
Hi!Noon: Das Duell(2009), Tic Tac Turn(2011), and X: Die 4. Dimension - the 4 individual horizontal board layers (4x4 each) of the 4x4x4 grid can turn
3D5 - which is played on a 5x5x5 cube (5x5 grid with 5 layers) but without turning layers