Ever since the introduction of roundabouts, car-on-cyclist accidents have risen in the Netherlands. Why? Because when a car leaves the roundabout, it basically has to take an almost blind right turn, where it's very difficult to see a cyclist approaching from the side / behind. Just a few months ago I was hit by a car in this exact scenario. It happens about two to three times a week where a car will not spot me in time when it leaves the roundabout (I cross about 50 roundabouts a week). I know this, so I adjust my cycling speed at roundabouts to near-nothing.
I'm not convinced right on red doesn't pose a dangerous situation, even if cars come to a full stop first. In a right on red scenario, the bicyclist always approaches from behind, in the blind spot of the mirror. I'm not saying the right on red policy should be abolished, just as I don't want roundabouts to be abolished in the Netherlands (I love those things). Just that, as a cyclist, it's primarily your duty to ensure cars have seen you. Let's hope that as cycling increases in the U.S., motorists become more aware of cyclists in the street.