A Kirby puzzle game for Game Boy. The goal is to get as many stars as possible by matching pairs of blocks and chaining those matches. These blocks are based on Kirby's animal friends.
It received a remake called Kirby's Super Star Stacker for the Super Famicom that unfortunately never saw the light of day outside of Japan. The biggest improvement in the remake is a story mode where Kirby confronts many characters in a series of puzzle battles.
This tag implicates kirby_(series) (learn more).