Rice is joined by Aaron Albano (Here Lies Love, Newsies), Clay Thomson (Matilda the Musical, Newsies), Natasha Scearse (White Christmas), Kelly Sheehan (42nd Street, White Christmas) and Sasha Hutchings (Rocky, Motown).
#TappyTroops was filmed aboard the WWII aircraft carrier and National Historic Landmark, the Intrepid, which was converted to the Intrepid Sea, Air & Space Museum in its permanent New York City location.
Dressed as WWII pilots and 1940s women, the cast dances to a new music remix by DJ Chelli.
"We created this video to thank, honor, and entertain the millions of veterans who have given so much to protect our country," Rice said in a statement. "There are plenty of things out there than can bring you down. As performers, it is our job and our passion to put our talents into something that lifts people up."