How did I not know that this exists?
Bosom Buddies aired on ABC from November 1980 to May 1982, running for two seasons, and starred, as you can see, Tom Hanks and Peter Scolari.
The series was conceived by Miller and Boyett as a male counterpart to their hit sitcom Laverne & Shirley. They originally pitched it as a straightforward buddy comedy done in what they described as “a sophisticated Billy Wilder kind of way.” When ABC executives asked Miller and Boyett to explain what they meant by the comparison to Wilder, the producers mentioned Some Like It Hot and ABC bought the show on condition that it would include men in women’s clothing, just like that movie. “We weren’t there to pitch that,” Miller recalled.
There are full episodes to be found on YouTube if you want to see it.