Galley is a pirate best known for his distinctive crescent mustache. In Romance Dawn v.1, he's introduced as one of the "Big Three" pirates—supposedly powerful, though he's completely outmatched by Luffy.
When Luffy spots Galley's ship, he doesn't hesitate to take it for himself rather than sail around in a dinghy. He wipes out Galley's crew without much effort. Things escalate when the ship docks at Silk's hometown: Galley escapes, tries to get revenge, but panics once he realizes Luffy's a Rubberman. The townspeople mistakenly tie up Luffy thinking he's Galley, which sets off a chain reaction. Galley takes this as his chance to hold Luffy hostage and raid the town's treasure. When he smashes Luffy's hat out of spite, he crosses a line—Luffy destroys his entire ship with Gomu Gomu no Axe and sends him into the ocean. Galley swears revenge, though fans often note the irony of what happens next.
Years later, Galley appears as a crewmember on Luffy's pirate ship, spotting land and reporting it to him. His character arc suggests that his clash with Luffy fundamentally changed him—he went from being a Morgaina pirate to joining what Luffy calls his Peace Maine crew.
The anime adapts a version of Galley for the Lougetown arc, reimagining him as an elderly pirate called Galley of the Crescent Moon with a bounty of 3,450,000. He and his crew are shown raiding the town before getting captured by Captain Smoker, though his design and flag clearly reference the original manga character.
Content compiled by AnimeList.moe from publicly available sources.