SkyCapers

One of the original five games produced by Winning Moves.

From the box:
SkyCapers is a stacking game which features 48 handsome wooden blocks cut into several different shapes. Matching pairs of blocks fit together allowing players to build many unique towers. As each tower grows taller, it may become unstable. Your very next move might cause one to collapse. But to score, you have to risk performing "Capers" -- the transferring of a whole stack of blocks from one tower to another. If you play your blocks right, you'll outscore your opponents and win the game!