Comeback man Bumrah, India's captain for Ireland series, moved up seven places to reach the 84th position, Bishnoi has jumped 17 spots to reach 65th.
Following his 58 in the second T20I against Ireland, Ruturaj Gaikwad moved up 143 places to reach the 87th position.
Despite missing the Ireland series, Suryakumar Yadav remains on the top spot in the T20I rankings for batters.
In ODIs, while Pakistan's Babar Azam and Imam Ul Haq occupy the first and third spots respectively, there has been no change for Indian mainstays Virat Kohli (ninth) and captain Rohit Sharma (11th).
In Tests, Indian spin duo of Ravichandran Ashwin and Ravindra Jadeja are world's No 1 bowler and all-rounder, respectively.