Koopa Paratroopa made their debut in Super Mario Bros., and made frequent reappearances in later games. Green Paratroopas either fly back and forth in a fixed path or hop around, while red Paratroopas fly up and down. Jumping on them makes them lose their wings, turning them into regular Koopa Troopas.
Koopa Paratroopas are found in the Mushroom Kingdom stage of Super Smash Bros. Melee's Adventure Mode, as well as in Crates and Barrels. Jumping on them or attacking them in midair makes them lose their wings, turning them into regular Koopa Troopas. While Green Koopa Paratroopas are common, only one Red Koopa Paratroopa appears in the entire stage, in the area with water before the fight against Yoshis. This Paratroopa's red shell deals fire damage when it is thrown; beyond this, however, it otherwise acts identically to a Green Shell.
Every time the player KOs a Koopa Paratroopa by grabbing it and throwing it, or knocking it off a ledge, some points are added to the Koopa Paratroopa KO bonus.
These winged Koopa Troopas can fly, but they're none too smart: they tend to spend a lot of their time simply jumping or fluttering around a small area. As a result, no one exactly thinks of them as majestic, soaring creatures. They lose their wings and become normal Koopa Troopas if Mario or Luigi jumps on their backs. [10/85]
Green and Red Koopa Paratroopas are common enemies found in the Subspace Emissary mode, first seen in The Jungle. They do not deal damage on contact, but actively attack nearby players with a downward headbutt. Some of the Red Koopa Paratroopas even chase their targets, and strike when they get close.
If attacked or stomped, they lose their wings and fall (provided the attack caused them to flinch), acting from that point on no different than a regular Koopa Troopa. Their health bar, however, will still read "Paratroopa". Red Koopas (without wings) just follow their target on foot, though they're slow and easy to escape from. After a while, if not destroyed, they can grow back wings when they go off-screen.
If it is knocked out in one hit (i.e. it doesn't lose its wings), it will reel normally like a defeated enemy instead retreating into its shell. This does not happen to regular Koopa Troopas.
It is somewhat tough to catch their Trophies with a Trophy Stand, because a single hit may remove their wings and turn them into a regular Koopa. The player can damage them, move away from them until they aren't visible, and return to their position, making their wings return.
A winged Koopa. These can fly to a degree, but in Super Mario Bros., it wasn't like they could soar wherever they pleased. In fact, they merely hovered, moving back and forth over set areas. Some Koopa Paratroopas don't even take to the skies, but just jump up and down. These become regular old Koopa Troopas when stomped.
A flying Koopa with wings. In Super Mario Bros., they possessed the same abilities as green-shelled Koopa Paratroopas, but the routes they flew were different--they flew up and down rather than side to side. There are no red-shelled Koopas who merely hop up and down. You'll often see them participating in two-person kart races and playing basketball.
Red and green Koopa Paratroopas appear as enemies, retaining their Brawl properties. They also appear as part of the enemy waves in the Mario-themed Vs. Enemy Team final battle. Like in Brawl if they are hit by a really strong attack they will be KO'd instead of becoming a normal Koopa Troopa.
The Green Koopa Paratroopa is exclusive to Super Smash Bros. for Nintendo 3DS.