I know it is bit vague to play games on Mainframes .. In case you want to be on mainframe screen and play a game, here is one “mainframe word guessing game”.. All are random words with length = 5 and no repeating letters in each word. You can modify the code as you need. This is a tweak from this post.

Here is the code file for the “Mainframe REXX Guess Game based on 5 letter words.docx”
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