In Show them the door: Taiwan's netizens ashamed of loutish tourists, there's mention of a Taiwanese night market game:
The doors, with their paper panels punched through, resembled a popular night market game in which players punch out panels on a grid of small boxes to win a prize behind.
Are carnival-style games still available in Taiwanese night markets? I'm especially interested in anything more "traditional" or specific to Taiwan, such as the game described.
I went to the Shilin night market (described as the most "touristy" of them), and I don't think I saw carnival-style games.