In a world inspired by my thoughts, it would be normal to see bus stops on roundabouts with a raised walkway that takes people there.
I used the simplest example in my sketch. In this example it is a suburban area with one bus route that comes once every 20 minutes. The bus stop parking apron (in orange) is on the roundabout-island so when the bus stops to pick up passengers, it separates from the traffic. In some of my thoughts, the bus stop for buses going A to B and B to A are the same bus stop and the roundabout has 3 bus parking aprons but it is one bus stop for both directions. If the bus can't park on a convenient parking apron, it would park on a different one and then use the roundabout to head back in the correct direction.
If there are no roundabouts that are the right size, other bus stops would be on the bend in the road so they would be easy for buses to manoeuvre and still separate from traffic. I added that in the corner of the sketch (in orange).
I also excluded glass wall and sliding doors in the sketch for the sake of simplicity. A glass barrier would be necessary because people would walk into the road take a shortcut. So the center of the island would be a glass box with sliding doors that open when the bus parks.