Answer: Javy Lopez
Javy Lopez began his MLB career with the Atlanta Braves in 1992 at the ripe age of 21. He hung around Atlanta for a total of 12 seasons where he was remarkable.
Lopez' career numbers include a .287 batting average with 260 home runs and 864 runs batted in. Javy was a great leader and provided exactly what you would want from a big-league catcher.
Other than Brian McCann, it is hard to think about Atlanta Braves catchers who were around for a while without mentioning Javy Lopez.