Announced at E3 2001, Corneria (惑星コーネリア, Planet Corneria) is a starter stage in Super Smash Bros. Melee, and is essentially a smaller version of Fox's old stage, Sector Z, which was in Super Smash Bros. Corneria later appeared in Super Smash Bros. Brawl as a Melee stage and in Super Smash Bros. for Nintendo 3DS as a familiar stage. In All-Star Mode in Melee, this stage is where one fights Fox and any of his teammates. In Smash 3DS, Falco is fought here when being unlocked. This stage returns once again in Super Smash Bros. Ultimate, although updated to resemble the stage's appearance in Star Fox Zero.
The stage is set on the Great Fox, like every other Star Fox stage released in SSB and Melee. The horizontal blast lines are very close to the main platform, and the stage has a very low ceiling in Brawl. Arwings and Wolfens fly down to fire lasers at players, usually coming from the right hand side or from up above. The lasers can damage players, but they will only make characters flinch very slightly and do no knockback, except in Smash 3DS where the shots explode on contact and can easily KO an unfortunate fighter. They may come in and lock on from the background, flying past the Great Fox. They also serve as moving platforms when they come, though they can carry characters past blast lines. The lasers fired by Arwings and Wolfens can be reflected or absorbed by Mr. Game & Watch, Ness, Lucas, and Mii Gunner. The Great Fox also has two laser cannons in the front. Players can stand on these laser cannons, but they will charge and fire on occasion. Characters caught in the crossfire usually have no chance of survival. However, just like the Arwings and Wolfens, one can use energy-projectile absorption moves like PSI Magnet and Oil Panic to benefit from these shots. In all Smash games so far, the laser cannons can be destroyed, which also stopped them from being used as platforms.
The level is also apparently scrolling slightly, as items that should remain stationary in the air like Flippers and Party Balls will move slowly. Also, the Great Fox's wings will sometimes touch the sea under it, though swimming is impossible even in Brawl.
When Pokémon Trainer is used on this stage, there will be an extra smaller ship for the trainer to stand on in the background.
The Ω form replaces the Great Fox with a flat platform resembling some of the buildings in the background. Arwings and Wolfen no longer appear.
While it was allowed as a counterpick stage in Melee in the past, Corneria is usually banned from standard tournament rulesets because of stage hazards such as the Arwings as well as issues with camping, its very low ceiling (in Brawl), and wall infinites such as Fox's shine infinite in Melee and King Dedede's infinite chain throw in Brawl, both done against the backside of the Great Fox's dorsal wing which functions as a wall. The Great Fox's laser fire also serves as an extremely powerful stage hazard.
This stage is from the first level in Star Fox 64, Corneria. While Corneria made its first appearance in the SNES game, Star Fox, this stage is based around the Star Fox 64 version. In Star Fox 64, the player flies through Corneria to confront the first boss. An area that the player flies through is Corneria City. Due to enemy attack, the city is heavily damaged. In Smash, the Great Fox goes the same route as the player takes in Star Fox 64. Corneria City is not heavily damaged and is much denser, however.
Ever since Star Fox 64, the Great Fox has been the mobile headquarters for the Star Fox team, and is also a battleship/carrier. The ship in Smash serves as the stage's main platform. There are also smaller ships that act as temporary platforms known as Arwings. Arwings made their first appearance in Star Fox as the Star Fox members' personal starfighter, and have appeared in every Star Fox game since. An Arwing's main weapons are lasers, which can be upgraded to double-lasers. Team Star Wolf, an enemy to the Star Fox team, also have their own personal starfighters known as Wolfens. The Arwings seen in Smash are designed around their appearance in Star Fox 64. They act as a hazard for the stage when they fire their double-lasers, which damage any player that is hit. Wolfens also occasionally appear in the stage. 
The part where the Great Fox dips into the water is a reference to the beginning of the Aquas level in Star Fox 64 where it's partially submerged to deploy the Blue Marine.
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