In addition to conference championships and many rivalry wins, RMU has enjoyed significant success against top-ranked opponents. Included below are some the most important wins in program history.
| Date | Opponent | GF | GA | Att. | Place |
|---|---|---|---|---|---|
| 10/15/2005 | at Western Michigan | 5 | 2 | 2520 | Kalamazoo, MI |
| 1/31/2006 | Princeton | 5 | 2 | 658 | Pittsburgh, PA |
| 1/7/2007 | at #2 Notre Dame | 4 | 2 | 2628 | Notre Dame, IN |
| 2/2/2007 | #16 Niagara | 7 | 1 | 852 | Pittsburgh, PA |
| 2/3/2007 | #16 Niagara | 5 | 2 | 696 | Pittsburgh, PA |
| 10/12/2007 | #8 Boston University | 3 | 2 | 2174 | Anchorage, AK |
| 11/10/2007 | #19 Niagara | 4 | 2 | 873 | Pittsburgh, PA |
| 11/18/2007 | at Ohio State | 4 | 3 | 2138 | Columbus, OH |
| 10/31/2009 | #18 Quinnipiac | 8 | 5 | 731 | Pittsburgh, PA |
| 1/8/2010 | #1 Miami Ohio | 3 | 1 | 3654 | Pittsburgh, PA |
| 1/10/2010 | at #1 Miami Ohio | 2 | 1 | 2314 | Oxford, OH |
| 1/30/2010 | at #7 Bemidji State | 5 | 2 | 2243 | Bemidji, MN |
| 2/12/2010 | #5 Bemidji State | 5 | 2 | 863 | Pittsburgh, PA |
| 10/15/2010 | at Ohio State | 4 | 3 | 2003 | Columbus, OH |
| 2/19/2011 | #18 RIT | 5 | 3 | 1229 | Pittsburgh, PA |
| 10/14/2012 | at #18 Quinnipiac | 4 | 0 | 1579 | Hamden, CT |
| 12/15/2012 | at Penn State | 3 | 2 | 1300 | University Park, PA |
| 12/28/2012 | Penn State | 6 | 0 | 11663 | Pittsburgh, PA |
| 12/29/2012 | #5 Miami Ohio | 1 | 0 | 10797 | Pittsburgh, Pa. |
| 2/16/2013 | #15 Niagara | 6 | 5 | 1032 | Pittsburgh, Pa. |
| 10/10/2014 | Lake Superior State | 3 | 1 | 787 | Pittsburgh, Pa. |
| 10/11/2014 | Lake Superior State | 3 | 0 | 745 | Pittsburgh, Pa. |
| 12/29/2014 | vs #20 Penn State | 4 | 2 | 6252 | Pittsburgh, PA |
| 10/31/2015 | at #10 Michigan | 4 | 0 | 4543 | Ann Arbor, MI |
| 12/28/2015 | vs #14 Penn State | 6 | 4 | 5269 | Pittsburgh, PA |
| 12/29/2015 | vs #8 UMass Lowell | 5 | 3 | 4027 | Pittsburgh, PA |
| 11/4/2016 | at #11 Ohio State | 6 | 2 | 5664 | Columbus, OH |
| 11/26/2016 | Dartmouth | 3 | 0 | 829 | Pittsburgh, PA |
| 12/30/2016 | vs #13 Quinnipiac | 5 | 2 | 4164 | Pittsburgh, PA |
| 3/17/2017 | vs #20 Canisius | 6 | 2 | 200 | Rochester, NY |
| 12/29/2017 | vs Lake Superior St. | 5 | 0 | 2115 | Pittsburgh, PA |
| 10/12/2018 | #20 Bowling Green | 3 | 2 | 837 | Pittsburgh, PA |