Team Rocket: Organized crime, gambling, Pokemon theft & trafficking. Basically mafia.
Team Aqua/Magma: Attempted to cause massive changes to climate & sea levels, which would have resulted in an ecological disaster the likes of which the world has never seen before.
Team Galactic: Attempted to manipulate space and time itself and rewrite reality.
Team Plasma: Under the guise of Pokemon rights activism, attempted to
get everybody except for them to give up their Pokemon, so that they can take over the world.Team Flare: Attempted to kill every last living being on the planet except for them.
Team Skull: Attempted to steal a bus stop sign.