Have you heard of a game called Gladius?
Its about managing a team of gladiators, recruiting new players ... with some overarching goal which has more to do with Traditional fantasy elements above and beyond playing the myriad of Gladiator arena games that you end up playing.
You get to fight against nordic barbarians, romans (scutarii), undead, Satyrs, other animal people, etc. Its pretty cool, but there is no permanent death and you have full control over the battle (what your characters do)
its more of a tactics game (like final fantasy tactics) than a Sports Simulator, but its kinda set up like a Sports League.