1951 win over Dayton to win the NIT
1966 win over NYU to win the NIT
1981 beating Notre Dame to go to the Elite 8
2002 Erase a 21 point defecit to defeat Utah and win their 35th straight home game
2010 Beat Florida in double OT for the first NCAA win in forever
2011 Either of the wins over SDSU (ranked #4 for both games and incredible national spotlight on both games)
2011 Beat Gonzaga to go to the Sweet 16
2012 Largest comeback in NCAA tourney history to beat Iona
2017 Beating #1 Gonzaga on the final game of the regular season
As far as straight memorable games go...
I would put the holy trifecta of Jimmer games up there (@Utah, @AZ, vsUNM) for sheer entertainment value.