Updated 2nd October 2018: New entries added
Video games have been simulating sport from the beginning. What else would you call Pong but a game of virtual tennis?
It's a natural fit, really. You well defined, easily understood rules and tactile physics right there for the exploiting.
Of course, many sports games these days play fast and loose with those rules. Sure, there are plenty of in-depth simulations, but there are just as many crazy offshoots.
Nowhere is this diversity more evident than on mobile, as this list will attest to.