Billy Kilmer was one of the many frustrated players in the early years of the New Orleans Saints, and when they drafted Quarterback, Archie Manning, Kilmer saw the writing on the wall and asked to be traded. He got his wish when they traded him to Washington in January of 1971.
Hugh Taylor was an All-American basketball player at Tulane in 1943, but he served in the Navy for two years after. Upon his discharge, he played a year of college football at Oklahoma City (not Oklahoma or Oklahoma State), and he went undrafted. The Washington Redskins signed him in 1947, and it was arguably the best undrafted signing in franchise history.
The career of Mark Rypien is an interesting one, but as much as some people could say that he was lucky, he was also very good when needed to be.
If you are an all-time leader in any NFL stat, it stands to reason that you were pretty damned good. This is who we are talking about next in Brian Mitchell, who is the all-time leader in Kick Return and Punt Return Yards, much of which was accomplished as a member of the Washington Redskins.