The Atlanta Braves were a professional baseball team that existed in the 20th and 21st centuries on Earth, representing the city of Atlanta.
In 2364, the revived L.Q. "Sonny" Clemonds asked to see if the Braves were playing on a viewscreen he mistook for a television, not realizing that both that medium and the game had died out in the mid 21st century. (TNG: "The Neutral Zone")
In early 2375, Jake Sisko was seen wearing an Atlanta Braves cap on the holosuite. (DS9: "Take Me Out to the Holosuite")