I consider Violent Femmes to be "wierd" in the sense that they were off-the-wall soundwise,
A couple of my students and I have started playing short sets of Violent Femmes songs at a coffee house down the street from me, mostly to get them over their stage fright due to lack of experience playing in front of people. It's fun stuff, and basically one big bass solo for me.
I've been in several weirdo bands in the past. The strangest was 8 people, all on experimental and/or homemade instruments, playing strange noisy drone music. Our first gig was a no-rehearsal, 60 minute, one-song set live on a college radio station. I played one hour long note on lap steel with an e-bow while twiddling the knobs on a tremolo pedal. That was weird.