And along the same lines has a 7-10 seed from a power conference made a nice run in recent history? I can't think of one off the top of my head.
Best outcomes for low seeds since expansion to 64 teams in 1985:
No #16 seeds have ever advanced past the Round of 64.
A #15 seed has reached the Round of 32 six times:
Richmond over Syracuse in 1991
Santa Clara over Arizona in 1993
Coppin State over South Carolina in 1997
Hampton over Iowa State in 2001
Norfolk State over Missouri in 2012
Lehigh over Duke in 2012
A #14 seed has reached the Sweet Sixteen (Regional Semi-finals) twice:
Cleveland State in 1986
Chattanooga in 1997
A #13 seed has reached the Sweet Sixteen (Regional Semi-finals) five times:
Richmond in 1988
Valparaiso in 1998
Oklahoma in 1999
Bradley in 2006
Ohio in 2012
A #12 seed has reached the Elite Eight (Regional Finals) once:
Missouri in 2002
An #11 seed has reached the Final Four and played in the national semi-final game three times:
LSU in 1986
George Mason in 2006
VCU in 2011
A #10 seed has reached the Elite Eight (Regional Semi-finals) seven times:
LSU in 1987
Texas in 1990
Temple in 1991
Providence in 1997
Gonzaga in 1999
Kent State in 2002
Davidson in 2008
An #8 seed has reached the National Championship three times, one of which was later vacated:
UCLA in 1980 (Vacated)
Villanova in 1985
Butler in 2011
A #8 seed has won the National Championship once:
Villanova Wildcats in the 1985 tournament.