The European dragon is what most people think when they hear "dragon". Big tall scaly lizard with wings that breathes fire.
The Asian dragon is more a serpent with arms/legs. Usually seen carrying an egg(though it looks like a pearl). While Asian dragons don't breathe fire, they are more agile. This is because they don't rely on limbs or wings for movement, but rather, and unknown gravity-canceling force.
The Native American Dragon is also known as Quetzalcoatl(Quet·zal·co·a·tl). There is only one. He is the feathered serpent god of the Aztec and Toltec peoples. ____________
I prefer Asian Dragons, as they are just way cooler.