The Atlanta Braves were a professional baseball team that existed during the 20th century on Earth, representing the city of Atlanta.
In 2364, the revived L.Q. "Sonny" Clemonds asked to see "how the Braves are doin' after all this time," after mistaking a viewscreen for a television, figuring that they were "probably still finding ways to lose." Unbeknownst to Clemonds, however, both television and baseball had died out in the mid 21st century. (TNG: "The Neutral Zone")
In early 2375, Jake Sisko wore an Atlanta Braves cap during the Niners team practices, in preparation for the holosuite baseball game against the Logicians. (DS9: "Take Me Out to the Holosuite")