Lylat

The Lylat system as depicted in Star Fox 64
The Lylat system is the setting for the adventures of Star Fox. Depending on the iteration of the game, it typically includes as levels/planets Corneria, Venom, an asteroid field, some empty space sectors, and other assorted planets.
Andross generally wants this whole deal for himself, and Star Fox generally ends up shooting at him until he stops.