Looking on the internet deeply has found these results:

sit on a horse is the most popular phrase on the web.

got on a horse 1409,000 results on the web	sit on a horse 1524,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
Track? Because horses run on tracks and you are a horse. What about me One day, coming from her painting lessons near the zoo... she got on a horse Find a horse. We got the nod on a horse in the fourth at Flemington yesterday. Feels like I ate a horse. drawn tram passing along Kurfuerstenstrasse. Someone got stepped on by a horse.	Except he can't sit on a horse. A lone cowboy sits on a sturdy horse, gazing up at the moon. You think I sit on a horse and do this myself? While you sit on the horse like the King of England. It makes men imperious to sit on a horse. And now these brave mothers, going into that dark place to fight for their children, while a mountie sits on his horse doing nothing. And you do sit a horse well, hang it. You can't sit a horse with a slug in your leg, Howie.

got on a horse

1409,000 results on the web

sit on a horse

1524,000 results on the web

More popular!

Except he can't sit on a horse.
A lone cowboy sits on a sturdy horse, gazing up at the moon.
You think I sit on a horse and do this myself?
While you sit on the horse like the King of England.
It makes men imperious to sit on a horse.
And now these brave mothers, going into that dark place to fight for their children, while a mountie sits on his horse doing nothing.
And you do sit a horse well, hang it.
You can't sit a horse with a slug in your leg, Howie.