A very interesting point: e-sports Olympics would be really cool
Such tournament already exist and is called
World Cyber Games. But with time, it has become less interesting, as I see number of games were cyber athletes compete has decreased. When I was very interested in video games, this tournament was really like Olympic games. At my country there were qualifying games, and winners receive tickets to finals. Look at WCG 2008. 800 cyber athletes from 78 countries. Such tournaments exist even now, but instead of countries, teams and individual players compete against each other.