I would not be opposed to adding horse racing, or perhaps chariot races. Leave it for a side event though. The main attraction must be the athletes, but so long as many come from afar, let them bring animals to race and bet their coins on.

As for women competing? Well… there is much said of showing the vigoriousness they can give, but only in separate events! to ask them to compete against men would be to invite undue advances that would degenerate sport into a pell-mell of bodies in sacrilegious acts.