Bugs Bunny is the main mascot of the Looney Tunes series.
The Wabbit Who Came to Supper (1942)
2 minutes 55 seconds in comes out of the shower
Baby Looney Toons
In "All Washed Up" most of the cast bathes together, including:
The Looney Tunes Show
In "You've Got Hate Mail" Bugs is seen wearing a towel in front of Lola after his shower.