Has Mississippi State ever beat Alabama and Auburn in the same season in any season prior to 2007?

No idea, MSS probably isn't that good because I never heard of that team.

2007, 2000, 1998, 1997, 1980 lately, not sure further back.

yes... try late 90s.

1997 it was back to back... shut out auburn and the next week took out bama:

http://www.phys.utk.edu/sorensen/cfr/cfr/output/19...

1998 it was a two fer against the schools:

http://www.phys.utk.edu/sorensen/cfr/cfr/output/19...

1999, bama caught us, auburn didn't... but if you can find highlights of that game it was an awesome last second come back for MSU:

http://www.phys.utk.edu/sorensen/cfr/cfr/output/19...