Just thought I'd share. I got my nieces rubber band looms for xmas, and found these when I was looking for refill bands a week or so after xmas.
Amazon.com: 1800 Mixed Rubber Band Color Bands... Before I had seen the kids I lost yumi's bands, so I stole a couple of their bracelet bands. They actually seemed to work better than the orthodontic I usually use on her. they're a bit bigger, but I don't think I've had to cut a single band out of her hair using them, even with mom's dog teddy chewing on her topknot until the topknot it's self was a tangled ratty mess. I picked at the tangles with my fingers and the band slid right out. 1800 bands for $5 isn't bad!
I don't know about all the brands of rubber band bracelet bands but I've tried 2 different kinds on her now and neither tangled bad. the other brand was stiffer and broke a little easier though. I don't remember where the other brand came from we went a little crazy of the rubber bands for a while :P