Alex Kidd in Miracle World DX

At the end of level 13, you will encounter Gooseka again. He will challenge you to another game of Jankenpon. For this round, you can win by just selecting paper both times. Once you win Jankenpon, he will decide to fight you instead. Run up to him and begin attacking for a little then dodge the blue orbs he throws. In between throws, make sure to land more hits on him. If you are fast, you can actually beat him shortly after he throws the first orb.