The only game I remember (I was at the game as an Army ROTC Cadet) from the 70s was the Utah win over BYU on November 20, 1978. Link
“Utah (5-6), who has lost 6-straight games to BYU, again finds themselves losing to the Coogs (7-2) by as many as 16 points. Under these circumstances, the Utes pulled together and pulled off one of their most memorable Holy War victories ever, and their last until 1988.”
I gathered a lot of baggage over the next 10+ years, but that game hooked me. I believe Coach Whittingham was a line backer, but not a starter at that game.
If I supporting continuing the series with BYU, its only to see them beat every year.