One run that has remained inmy mind, despite its obscurity. 1989 first round tournament game against BU at the HCC.
If I recall correctly, BU was actually winning in the second half against the top seeded Huskies. But the switch turned on and Henefeld, Smith, et al went on a 20-something to zero run to decimate BU. The moment was typical of the team. Their press suffocated BU and it felt like UConn had 7 players on the court.
Two days later we did the same thing to California. The HCC was a delirious.
Perhaps my favorite run has already been mentioned: Kemba destroying UK and Squid in Hawaii. I have forgotten more than I remember, but UConn and great in-game runs is still part of our allure.