Who can tell me some good running mods where you can race against other player?
So, two players, set side-by-side, and they have to pass over some finish line, or something like that?
If, there is no such mod, can you tell me is there a mod where you have to run from some danger, to avoid to be killed?

Mods like this are usually used in competitions, mostly from a few years ago. Try looking in the later pages of the Events boards. I'd recommend one of the old ToriOlympics events.

Try swamz_footrace.tbm.
It's not that long, but it fits everything you want.

Good luck with whatever you need this mod for.

Ok, thx.