They had one against Georgia State.
I remember one year when they hadn't made a bowl game in a long time (may have been pre-James Franklin). They started 5-0 and then lost to MTSU at home (MTSU wasn't that good that year as well). They ended season 5-6.
I live in Nashville so I somewhat root for Vandy when they don't play Tennessee but some of their OOC dud games have really cost their program over the years. They would often play teams like Alabama, Georgia, Tennessee (when we were good in the Fulmer days) and nearly win but then lose to Southwest Tech State. I would be like "if you played Southwest Tech like these guys, you would be in a freakin bowl game..."