OK, I'm confused. You posted this topic in the '50s/'60s group, but are you looking for '60s bands or are you looking for more modern bands that play in that style? If you're looking for modern bands, there are thousands like that (what you're describing is simply the garage style of rock'n'roll with lotsa fuzz guitar/distortion, Vox or Farfisa organs, and primitive production). Try listening to our podcasts... that'd be a good place to start.