3. Stephen Fleming: 6295 runs
After becoming the captain of New Zealand in 1997 at a young age of 23, Fleming led the team until his retirement from the game in World Cup 2007 semi-final against Sri Lanka. Undoubtedly the most successful captain of New Zealand, Fleming scored 6295 runs in 218 matches as captain of New Zealand at an average of 32.78 with 7 hundreds and 38 fifties.