Here’s a shipload of them. http://en.wikipedia.org/wiki/List_of_one-club_men
I don’t think I’m mistaken here, but didn’t Walter Payton play for the Chicago Bears only?
Ron Guidry of the New York Yankees.
Al Kaline, Detroit Tigers (22 years).
Ozzie Smith played his first four seasons for the Padres before going to the Cardinals.
Duh. What was I thinking?
Payton did, along with teammates Dan Hampton and Mike Singletary.
Magic Johnson - LA Lakers
HOFers Barrry Larkin and Johnny Bench for the Reds.
Nobody’s mentioned Walter Johnson (Washington Senators) yet, so I will.
Ken Dryden for the Montreal Canadiens.
Mike Bossy for the Islanders.
Another interesting thing about Maldini as well as playing for AC Milan for 25 years (and winning the European Cup 5 times with them, more than any other player in history) or 31 years if you count the youth level, his father also played for AC Milan from 1954-1966 (winning the European Cup with them) and managed them in 1973-1974 and again in 2001. Currently both of Paolo Maldini’s sons play for AC Milan’s youth teams.
I mentioned both in my first post. 
Willie O’Ree for the Boston Bruins
Milt Schmidt for the Bruins
Henri Richard for the Canadiens
Jack Lambert of the Pittsburgh Steelers
(Sorry if most of my knowledge tends toward football and hockey)
A few more Lakers Hall of Famers: Jerry West, Elgin Baylor, James Worthy
You were thinking of Bob Gibson, who played 16 seasons, all with the Cardinals.
Martin Brodeur has played his entire career with the New Jersey Devils. I believe this is his 22nd season.
Roger Wehrli 14 seasons, Larry Wilson 13 seasons labored in obscurity for the St Louis Football Cardinals.
If we’re now talking current players, let us not forgot Daniel Alfredsson is now in his 17th season with Ottawa (13 as captain, a league high.) Jarome Iginla is enjoying his 16th season in Calgary.
Doesn’t necessarily mean they’ll finish with that team yet – Franco Harris played his last season in Seattle and Mike Modano signed with the Red Wings before he retired. (Although Dallas gave him a one-day contract so he could officially retire a Star)
So technically, current players probably don’t count.
The Captain…# 19 Steve Yzerman
Longest Captain of ANY North American sports team.
I was coming in to mention Sweetness but you beat me to it.
In addition to being the best point guard of all time, my Main Man, John Stockton spent his career with the Utah Jazz.
My other Main Man from the same period was David Robinson. The Admiral spent his entire career with the San Antonio Spurs.