What is a non-conference matchup that is don’t happen often (or at all) that should be played more often?

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The original was posted on /r/cfb by /u/ArkanoidbrokemyAnkle on 2023-12-13 14:18:07.

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I have been thinking recently how weird it is that my team, Illinois, rarely, if ever, plays the only non-conference FBS team in the state, Northern Illinois. So what about you guys? What are some non-conference games that either never happen or don’t happen commonly that should be played more often? Feel free to leave your reason why as well.