As of 2010, there are 53 teams that have never played in the NCAA mens basketball tournament they are as follows:
1.) Army Black Knights
2.) Bethune - Cookman Wildcats
3.) Buffalo Bulls
4.) Cal Poly Mustangs
5.) Cal State Bakersfield Roadrunners
6.) California-Irvine Anteaters
7.) California-Riverside Highlanders
8.) Centenary Gentlemen
9.) Chicago State Cougars
10.) Citadel Bulldogs
11.) Denver Pioneers
12.) Elon Phoenix
13.) Florida Gulf Coast Eagles
14.) Gardner-Webb Bulldogs
15.) Grambling State Tigers
16.) Hartford Hawks
17.) High Point Panthers
18.) IUPU-Fort Wayne Mastodons
19.) Jacksonville State Gamecocks
20.) Kennesaw State Owls
21.) Lipscomb Bison
22.) Longwood Lancers
23.) Maine Black Bears
24.) Maryland-Eastern Shore Hawks
25.) Missouri-Kansas City Kangaroos
26.) New Hampshire Wildcats
27.) N.J.I.T. Highlanders
28.) Norfolk State Spartans
29.) North Florida Ospreys
30.) North Carolina Central Eagles
31.) Northern Colorado State Bears
32.) North Dakota Fighting Sioux
33.) Northwestern Wildcats
34.) Presbyterian Blue Hose
35.) Quinnipac Bobcats
36.) Sacramento State Hornets
37.) Sacred Heart Pioneers
38.) Savannah State Tigers
39.) SIU-Edwardsville Cougars
40.) South Dakota Coyotes
41.) St. Francis(NY) Terriers
42.) Stetson Hatters
43.) Stony Brook Seawolves
44.) Tennessee-Martin Skyhawks
45.) Texas-Pan American Broncs
46.) UC Davis Aggies
47.) UC Irvine Anteaters
48.) UC Riverside Highlanders
49.) USC Upstate Spartans
50.) Utah Valley Wolverines
51.) Western Illinois Leathernecks
52.) William & Mary Tribe
53.) Youngstown State Penguins
The Citidel, St. Francis (NY), Northwestern, Army and William & Mary
the cal state san marcos team since they dont play football
Too many to enumerate, considering that only 35 schools have ever won a championship at all (through 2012).
Northwestern
maine
No, Illinois has never won the NCAA Men's Basketball Tournament.
Kansas State has never won the NCAA Basketball Tournament. farthest the have made it in the tournament was 1951 national championship game and lost 68-58
NORTHWESTERN
Michigan State defeated Indiana State, 75-64, to win the 1979 NCAA basketball tournament.
Ohio State.
4
Wichita State is in the Missouri Valley Conference. They were listed as being in the South Regional in the 2012 NCAA tournament.
California
Kansas State has never won a NCAA Tournament
East Tennessee State was last in the NCAA men's basketball tournament in 2010. They were a #16 seed.
They have never won the tournament. They have only appeared in 3 NCAA tournaments and have never won a game.