Some other teams you could go with (I mostly go with the more entertaining teams to play with, not necessarily the best):
93-94 Arkansas: National champs behind Big Nasty and Scotty Thurman
11-12 Baylor: Lost regional final, but very entertaining team
99-00 Cincy: Went 29-4 behind beast mode Kenyon Martin and strong cast
03-04 UConn: Boring team but one of the more dominant
00-01 Duke: The beast that is Jay Williams before that motorcycle
95-96 Georgia Tech: Starbury and sharpshooters Harpring and Barry
82-83 Houston: I know it says 90s to current but it's Phi Slamma Jamma lol
02-03 Kansas: One of best teams not to win the title
07-08 Kansas State: Beasley, Bill Walker, Jacob Pullen, fun trio
95-96 Kentucky: The Shimmy, Derek Anderson, Tony Delk
09-10 Kentucky: Wall, Cousins, Bledsoe
89-90 Loyola Marymount: They barely make it but Gathers/Kimble
89-90 LSU: Frosh Shaq, Chris Jackson, Stanley Roberts
99-00 LSU: Stromile Swift, Jabari Smith and the Funk Dunk (Personal fave)
05-06 LSU: Big Baby, Tyrus Thomas, Darrel Mitchell, Tasmin Mitchell
01-02 Maryland: Juan Dixon, Lonny Baxter, Chris Wilcox
05-06 Memphis: Darius Washington, Rodney Carney, Shawne Williams
07-08 Memphis: Probably should've won title behind Derrick Rose
97-98 UNC: Someone else already mentioned the team
04-05 UNC: One of the more dominant teams
06-07 Ohio State: Conley and Oden
08-09 Oklahoma: Griffin and Willie Warren
06-07 Texas A&M: Personal favorite, but Acie Law took over
07-08 UCLA: Westbrook, Love, Collison