Announced at E3 2001, Corneria (惑星コーネリア, Wakusei Kōneria or 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 as a Melee stage in Brawl. In All-Star Mode in Melee, this stage is where one fights Fox and any of his teammates.
 Stage Description
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. 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 Great Fox's cannons can also damage characters, though they can be destroyed (which also stops them from functioning as a platform). All lasers fired by Arwings, Wolfens, and the cannons can be reflected or absorbed by Mr. Game & Watch, Ness, and Lucas.
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.
 Changes from Melee to Brawl
In Super Smash Bros. Melee and Super Smash Bros. Brawl, matches still take place atop the Great Fox, but the ship is now scaled down in size and now takes place in Corneria. Arwings still fly around and occasionally fire, now along with Wolfens. Like Super Smash Bros. Melee's predecessor, the Great Fox has two laser cannons in the front. Players can now 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, one can use energy-projectile absorption moves like PSI Magnet and Oil Panic to benefit from these shots. In Super Smash Bros. Melee and Super Smash Bros. Brawl, the laser cannons can be destroyed.
 Tournament Legality
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' 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.
This level 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 Melee and Brawl, 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 Melee 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 Melee 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 music for this stage is, ironically, from the planet Venom in Star Fox, mixed in with pieces of the main theme of Star Fox.  This is even more ironic since a stage named Venom appears in Melee.