I should clarify that I speak of the Attitude Era as a period of time, not the WWE product at the time. They never really did compete with WCW or WCW when it came to the undercard workrate.
ECW Tajiri and Masato Tanaka both spring to mind. His style might have been toned down, but still stood out as something unique.
For luchadores, Super Crazy, Juvi, Psicosis, Rey, and a bunch of lesser lights. Again, they changed their style when working with the bigger guys, but worked a totally different style of wrestling when given the chance to go against one another.
Guys like Guerrero, Storm, Malenko, Benoit etc. worked a very technical style that, aside from Bryan in occasional matches, don't come up a great deal anymore.
Every WWE match of late has felt largely the same, which his part of the reason why Lesnar is such a fun treat. He works a a brutal style that isn't so cookie cutter.
Guys like Neville, Owens, Ambrose, Cesaro, Bryan, Gabriel etc. have had their distinguishing features largely rubbed out or boiled down to a bland approximation.