So does Star Wars, yet it is considered fantasy.
The Well World series has centaurs, lizards, shapechangers, sword fights, teleportation, etc. Yes, the underlying principle behind it is science, but it's still deeply in the realm of fantasy. Blackmoor had laser guns, expedition to the barrier peaks had a spaceship, yet they are still fantasy.
In the bolded text, you highlight with certainty why it is SCIENCE FICTION.
Star Wars is fantasy in only as much as it shares the common fantasy convention of a hero from backwater mcbumpkinville rising up to save all of us. Otherwise Star Wars is the definitive space opera, as was pointed out, which makes it science fiction. Again, science is the driving force of the world/universe/milieu. (The Force is even science! Yay midichlorians! Errr, I mean...not talking about that...)