Teams who have never made the NCAA tournament (35):
Army, Bethune-Cookman, Central Arkansas, Chicago State, The Citadel, Denver, Elon, Grambling, High Point, Incarnate Word, Kansas City, Maine, Maryland Eastern Shore, UMass Lowell, New Hampshire, North Alabama, NJIT, Omaha, Presbyterian, Purdue Fort Wayne, Quinnipiac, Sacramento State, Sacred Heart, St. Francis Brooklyn, SIUE, South Dakota, Stetson, UC Riverside, USC Upstate, UT Martin, UTRGV, Utah Valley, Western Illinois, William & Mary, Youngstown State
Teams not eligible yet (10):
Bellarmine, Lindenwood, Merrimack, Queens, Southern Indiana, Stonehill, St. Thomas, Tarleton State, UC San Diego, Utah Tech
It's seemingly not so easy to find how many D1 programs have been to the tournament but have never won an NCAA tournament game.