International cricket
Most games are played as parts of "tours", when one nation travels to another for a number of weeks or months, and plays a number of matches of various sorts against the host nation. The ICC also organises competitions that are for several countries at once, including the Cricket World Cup & ICC T20 World Cup.
Asian Cricket Council
Afro-Asia Cup was a cricket competition played for the first time in 2005 and which is intended to run for at least three years. The idea was to raise money for the Asian Cricket Council and the African Cricket Association and the whole venture was given a massive boost when the ICC somewhat controversially, agreed to give the series of one-day matches full ODI status.