Our juniors has a primary school sports' teacher.
In a lot of ways he is very much a Sports' Teacher. They're outside in all weathers, he's very enthusiastic...
But they do try a lot of sports. Over the years they do a selection of: football, tennis, golf, althletics, rounders, tag rugby, hockey, netball, cricket, gym... are the ones I know they've done.
He has several sports club, both before/after school and lunch time, which are open to all, albeit with some restriction of numbers. He either runs or has organised: circuit training, badminton, judo, cross country, football, girl's football, hockey, cricket, tennis, netball... Free or small charge depending.
Teams are picked from those that do the clubs regularly. So it doesn't fall to the best children who do the outside school clubs. For example my dd1, who is not sporty, has done several cross country competitions, and he's cheered her on for taking part and congratulated her. Two girls in her form who have run for the county did not take part in these because they didn't do the club.
He does try and encourage those that are good to take part, but doesn't ignore the less good ones at the same time.
He also picked dd1 to be one of his "sports' prefects" in year 6, they had a few little responsibilities to sort out equipment, he had a good mix of children from the sporty to the not-very-sporty-but-sensible.
Dd1 had a surprise (but very pleased) at secondary when she found the teachers there go inside at the threat of rain or a little cold.