The ICC also organises competitions that are for several countries at once, including the Cricket World Cup, ICC T20 World Cup and ICC Champions Trophy. A league competition for Test matches played as part of normal tours, the ICC World Test Championship, had been proposed several times, and its first instance began in 2019. A league competition for ODIs, the 2020–22 ICC Cricket World Cup Super League, is planned to begin in 2020. The ICC maintains Test rankings, ODI rankings and T20 rankings systems for the countries which play these forms of cricket.
The other ICC full members have national championship trophies called the Ahmad Shah Abdali 4-day Tournament (Afghanistan); the National Cricket League (Bangladesh); the Ranji Trophy (India); the Inter-Provincial Championship (Ireland); the Plunket Shield (New Zealand); the Quaid-e-Azam Trophy (Pakistan); the Currie Cup (South Africa); the Premier Trophy (Sri Lanka); the Shell Shield (West Indies); and the Logan Cup (Zimbabwe).

India failed to reach the final of the Asia Cup yet again in 2014. In the 2014 ICC World Twenty20 hosted in Bangladesh, India narrowly missed out on another ICC trophy by losing to Sri Lanka in the final. This tournament saw the rise of Virat Kohli as one of the best limited overs batsmen in world cricket, as he was adjudged the man of the series. India soon comprehensively beat Sri Lanka and West Indies in ODI series to cement their position at the top of the ODI rankings. India toured Australia towards the end of 2014 for a 4-match Test series, which is remembered for MS Dhoni's sudden retirement from Test cricket after the end of the second Test. Virat Kohli was appointed as the captain of Team India in Test matches but he was unable to turn the series around and India lost 2–0. Kohli's first series win as captain came away from home in a 3-match Test series vs Sri Lanka, which signalled the beginning of an unbeaten Test series run for India.

Ganguly became the regular captain of the team in both Tests and ODIs in 2000. He remained captain until 2005–06 and became the then most successful Indian captain, winning 21 of his 49 Test matches in charge and 76 of his 146 ODIs. Under his captaincy, India became the joint-winners of the 2002 ICC Champions Trophy with Sri Lanka, and the runners-up of the 2003 Cricket World Cup. India lost only three Tests at home under Ganguly and managed to draw Test series in England and Australia. Rahul Dravid took over as Test captain in 2005. In 2006, he led India to its first Test series victory in the West Indies in more than 30 years.
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