The last time Michigan won on a buzzer beater, to my recollection, was Tommy Amaker's first season: January 19, 2002 at Crisler.
Michigan came back from a 10 point deficit against Minnesota in the final 6 minutes to tie the game 69-69. On the final play, Bernard Robinson Jr. threw up a 12 foot floater that went in at the buzzer.
That was the only drama to celebrate that year as the team finished 11-18. The team was so bad, there's no footage of it on youtube or pictures of it on google.
The only other buzzer beater I can think of was the Fab Five's secound round tournament game against UCLA in 1993 with Jimmy King's put back....
Can anyone think of any others?