So I'm not really sure what I'm doing wrong but when I enter (history) after playing a game or two my program kind of crashes and doesn't print anything out. My (history) function is:

(define (history)
  (display (reverse gamesPlayed)))

and I have this in (correct):

 (set! gamesPlayed (append (list (theGame numOfGames startLower startUpper finalLower finalUpper secretNum stored)) gamesPlayed)))

When I have not played any games and I type in (history) it prints out an empty list because I set gamesPlayed to be the empty list.

I agree. Use cons instead of creating a list and then using append. It's simpler and more straightforward.

I would also be sure your custom write function is working properly. Create a game at the prompt and see if it prints as you expect.