What movie and television projects has Mushy Callahan been in?

It appears you are asking about a fictional character, "Mushy Callahan." There is no known real person or actor by that name who has worked in film or television. It is possible you are thinking of a character from a specific book, show, or game.

If you can provide more context, like the genre, the time period, or other characters associated with "Mushy Callahan," I might be able to help you identify the source you are thinking of.