There is a second group of tribute bands, also known as cover bands, that emphasizes emulating the music over mastering the mannerisms of the authentic.  I guess that would or wouldn't be the Rutles, or Beatlemania.   Some more examples of current 21st century performers of this kind:
Note:
(r) 2004.11.28@21:32 @ dem bones says re tribute band: Any reason not to fully link Tiny Tina?