Alex Kidd in Miracle World DX

At the end of level 14, you will encounter Chokkina again. He will challenge you to another game of Jankenpon. For this round, you can win by selecting rock both times. Once you win Jankenpon, he will begin the fight with you. During this fight, Chokkina will stomp on the ground causing meteors to fall. After a few seconds, he will throw a boomerang projectile then teleport to the opposite side and repeat the attacks again. Go ahead and hit him while he stomps, then dodge the projectile and hit him some more before he teleports. You should be able to defeat him as he stomps for the second time.