I know of one, it's spelled L O W L I N E.
Lowline Angus Cattle are very docile. I broke a heifer in 2 days, actually I had her pretty broke after 1. Never washed or rinsed her till I got her to a show... she did really well. She didn't care for clippers around her head too much though, but I cut a wart off her face & I tattooed one of her ears in the grooming chute that I also clip with, so that may help explain that. Seriously, I can take an unbroke Lowline & after 1 week, I can take them to a show & do OK with them. I'm sure that exceptions to the rule do exist, but the ones that I've got have sweet dispositions.
You probably wouldn't want a fullblood Lowline, but you can register 1/2 blood Lowlines & some of those are frame 5 cattle. I saw a Blue Roan Shorthorn X Lowline at the Lowline Show in Houston that would probably compete extremely well with fullsized cattle. I've got a Smokey Lowline X Charolais heifer that I think will also compete very well in Percentage Lowline, Commercial or AOB Classes. She may be spoken for (I am 99.9% sure that she is), but I have several others that I think are pretty good too. Plus, I have several friends with good percentage & fullblood Lowlines all over the country.