That other CoY quiz is a doozy. So I'll make it easy on ya'll. Here's a list, going all the way back, of the SEC Coach of the Year who went undefeated in that season. More familiar names and what-not.
No cheating. Good luck!
1938 Tennessee
1940 Miss State
1945 Alabama
1946 Georgia
1952 Georgia Tech
1957 Auburn
1960 Ole Miss
1961 Alabama
1962 Ole Miss
1979 Alabama
1980 Georgia
1984 Florida
1992 Alabama
1993 Auburn
1998 Tennessee
2004 Auburn
2009 Alabama