Another one that was and kind of is: Flat Design. When Flat Design arrived was kind of weird because everyone were using texture and trying to make it feel like you were using real objects like paper but just being delivered in digital. I don't remember the name of the iOS design style but when it arrived it blow everyones minds... although it was already being used the Flat style but wasn't really approached until iOS 7 (if I recall it right).
Now the tendency is to use whatever you like but taking in mind performance, and requests... so Material and Flat Design is the best way to go to avoid using a lot of images on your Front-End and trying to do everything or most of it with just CSS.