A soccer player as a teen in his native Denmark, Morten Andersen, came to the United States as part of an exchange program. Just for kicks (pardon the pun), he tried kicking a football, and he was excellent at it and would play as a senior in High School. It got him noticed by Michigan State, who gave him a scholarship. That led to him being drafted by the New Orleans Saints in the Fourth Round in 1986.
The father of Peyton, Eli (and Cooper), Archie Manning, was quite a Quarterback in his own right, and he played for the New Orleans Saints for over a decade.
Joe Horn was more than just a flashy way of celebrating a touchdown (remember the phone in the goalpost?).
Sam Mills had a long road to get to the New Orleans Saints, but once he got there, he would become one of their defensive leaders.