Think this has already been but nvm.

With floyd you can bend strings much much more.
im pretty sure its floating bridge, not stuck on the guitar surface, so you can do divebombs, also it keeps tuning better, thou strings are a hassel to change
a floyd floats freely on the guitar and is held up by the strings. a floyd guitar also has locking things where the neck meets the headstock. a floyd lets you use the whammy bar a lot without pulling your strings way out of tune. there good but a pain in the butt when you try to tune your guitar cause you have to tune each string over and over
larger range of being able to de-tune the strings or up-pull. so you can get huge ass divebombs and you can pull up further. lot more tedious setting up with you needing to be patient since its a fine art.