The Falcon Flyer is a ship in which Captain Falcon flies in to complete his bounty hunter missions. Interestingly, both in F-Zero and Super Smash Bros., he never uses it. In fact, its only video game appearance is in the Super Smash Bros. series. It was shown in the comic that came along with the original F-Zero though. In Super Smash Bros. Melee, it appears as both a trophy and on the Big Blue stage.
The Falcon Flyer appears in Brawl's Subspace Emissary, summoned by Captain Falcon to escape from the Subspace Bomb Factory that was about to explode, then he, Samus, Pikachu, Donkey Kong, Diddy Kong, Olimar, and R.O.B. face Meta-Ridley on top of the Falcon Flyer. A short time after that, the Falcon Flyer (piloted by Captain Falcon), along the Halberd, lands where the rest of the heroes are, and helps in the assault to stop the Subspace Gunship.
Super Smash Bros. Melee was the first game to feature the Falcon Flyer.