As of June 16, 2009 both Ivan Rodriguez and Ray Boone have caught 2,225 games. Rodriguez is expected to break this record with his next appearance.
The '67 Red Sox used several catchers that season with Mike Ryan getting in the most games as catcher. Ryan caught in 79 games, Russ Gibson caught 48 games, Bob Tillman caught 26 games before being traded to the Yankees for Elston Howard, who then caught in 41 games for the BoSox and even George Thomas got in one game as a catcher for Boston that season.
Mine
The two catchers most associated with Carlton would be Tim McCarver and Bob Boone... McCarver caught him in St. Louis and Philadelphia and Boone caught him in Philadelphia. Obviously, others caught his games as well, but those two men caught the most of his starts.
Carlton Fisk with 2226 games played as a catcher
Jason Varitek caught four no hitters, which is an MLB record for a catcher.
Check out the 'Consecutive Games Played Streaks' link on this page to see the 15 longest consecutive games played streaks in MLB history.
Lsu
The Most Dangerous Games
Brett Farve.
Phelps
Karlis Skrastins, with 495 games.