(This is NOT a list of terrible teams to which BYU lost under LaVell, although it does include plenty of them; it is a list of games BYU “should have” won — they were big favorites, or the other team was pretty bad, or at least much worse than BYU, and the loss was unexpected and very disappointing).
1976 — Kansas State
1977 — Oregon State
1978 — Utah State
1979 — Indiana
1980 — New Mexico
1981 — UNLV, Wyoming
1982 — Air Force, Utah State
1983 — Baylor
1985 — UTEP
1986 — Colorado St, Oregon St
1987 — TCU
1988 — San Diego St, utah
1989 — Hawaii
1990 — Oregon, Hawaii
1992 — San Diego St
1993 — Utah St, utah
1994 — Arizona State
1995 — Arizona State
1997 — UTEP
1998 — Fresno St
1999 — Wyoming
2000 — San Diego St
I didn’t include seasons before 1976, because I don’t have any memory of those years, plus BYU wasn’t very good back then. But I know we lost to Bowling Green in 1975.
I also didn’t include some borderline ones, like Rice 1997, which upset fans at the time but in retrospect didn’t seem so bad, because the other team was better than expected and/or we turned out to not be all that good after all.