Dawid Malan has attained the highest-ever rating points for batsmen in the ICC Men's T20I Player Rankings.
Kohli (871 points) and his deputy Rohit Sharma (855 points, ranked two) are out of action for some time due to COVID-19 forced break but they have kept intact their positions.
Anderson has moved back to the top-10 after briefly dropping out of it since the preceding home series against the West Indies.
ICC rankings: Virat Kohli, Rohit Sharma maintain top spots among ODI batsmen, Jasprit Bumrah uncontested
India's wicketkeeper-batsman KL Rahul is in second place in the T20 rankings for batsmen behind Pakistan's Babar Azam and ahead of Australian white-ball skipper Aaron Finch.
ICC Rankings: Australia dethrone India in latest Test standings, Kohli and co. lose top spot for first time since 2016
India still lead the ICC World Test Championship, a league comprising six series played by each of the top nine Test sides.
New Zealand's Suzie Bates (750 points) remained in second position in the list that also features the Indian duo of Smriti Mandhana and Jemimah Rodrigues in the top ten.
Verma and England spinner Sophie Ecclestone will go into the semifinals of the event as the top ranked batter and bowler respectively.
India have 116 rating points, six more than New Zealand with third-placed Australia accumulating 108 points.
Kohli, who has 906 points, slipped to the second position in the list which also features Ajinkya Rahane, Cheteshwar Pujara and Mayank Agarwal at the eighth, ninth and 10th place respectively.
Jasprit Bumrah has gained 26 places to reach 11th position while Yuzvendra Chahal has advanced 10 places to 30th.