This is based on the AP Poll, which goes back to 1936. So it won't include a game like the 1935 win over Army, which would likely be on it if the poll existed then. Also, it's based on the final AP Poll, rather than where a team was ranked at the time we played them, since we shouldn't get credit for a win over a team that turned out bad, and we should get credit for a team that turned out to be good, even if the voters didn't realize it at the time.

I'm also going to ignore forfeited/vacated games in either direction and rely solely on the results on the field. Tyler and Moorhead get credit for wins that we no longer claim; Sherril doesn't get a win that Alabama forfeited to us.

1941, #20 Alabama, Allyn McKeen
1941, #17 Ole Miss, Allyn McKeen
1942, #16 Auburn, Allyn McKeen
1945, #15 LSU, Allyn McKeen
1950, #4 Tennesssee, Arthur Morton
1952, #20 Kentucky, Murray Warmath
1957, #17 Florida, Wade Walker
1958, #18 Florida, Wade Walker
1963, #5 Auburn, Paul Davis
1970, #20 Ole Miss, Charles Shira
1976, #18 Kentucky, Bob Tyler
1977, #10 Washington, Bob Tyler
1980, #18 Miami (FL), Emory Bellard
1980, #6 Alabama, Emory Bellard
1982, #11 LSU, Emory Bellard
1984, #15 LSU, Emory Bellard
1992, #10 Florida, Jackie Sherrill
1994, #22 Tennesssee, Jackie Sherrill
1996, #11 Alabama, Jackie Sherrill
1997, #11 Auburn, Jackie Sherrill
1998, #16 Arkansas, Jackie Sherrill
1999, #22 Ole Miss, Jackie Sherrill
2000, #10 Florida, Jackie Sherrill
2000, #18 Auburn, Jackie Sherrill
2007, #15 Auburn, Sylvester Croom
2009, #20 Ole Miss, Dan Mullen
2014, #22 Auburn, Dan Mullen
2017, #18 LSU, Dan Mullen
2018, #16 Texas A&M, Joe Moorhead
2021, #20 NC State, Mike Leach
2021, #18 Kentucky, Mike Leach

We only have 4 seasons where we got more than one in a season:
2 - 1941, 1980, 2000, 2021

And by coach, sorted by percentage of games coached that were wins over ranked teams:
2/24 (8.3%) - Mike Leach
1/19 (5.3%) - Murray Warmath
8/152 (5.3%) - Jackie Sherrill
4/79 (5.1%) - Emory Bellard
4/87 (4.6%) - Allyn McKeen
1/26 (3.8%) - Joe Moorhead
1/27 (3.7%) - Arthur Morton
2/56 (3.6%) - Wade Walker
2/67 (3.0%) - Bob Tyler
3/115 (2.6%) - Dan Mullen
1/50 (2.0%) - Paul Davis
1/59 (1.7%) - Sylvester Croom
1/63 (1.6%) - Charles Shira