In The Hudsucker Proxy, Peter Gallagher plays a crooner who bears a resemblance to Martin, and even sings one of Martin's most well-known songs, "Memories are Made of This".
In Mission: Impossible – Ghost Protocol, Benji plays "Ain't That a Kick in the Head" through the prison's PA system while Ethan makes his escape.
In The Monkees episode "Dance, Monkee, Dance," Peter can't remember who the eight president of the United States was. When the woman questioning him gives him the hint that his first name was Martin, Peter says, "Dean Martin!"