Records up to May 15, 2021 (after Zim-Pak series).
Overall records (see criteria below):

Imra, Sobers and Pollock lead here. Most would be called genuine all-rounders (during their tenure as captain) except for the last 3.
Kapil and L Amarnath represent India. Shakib and JO Holder are the current players, though they are not likely to captain in future.
Match performances (50 and 5wi):

This is in chronological order.
The only double century (219) here is by the long-forgotten DS Atkinson. That was in the context of a match-saving 7th-wicket partnership of 347 with CC Depeiaza.
There is another 150+ score by Sobers in 1966.
There are several others with a century and 5wi, led by Imran with a century and 11 wickets. Even Border has a fifty and 11 wickets with his occasional bowling. More recently Rashid Khan made a fifty and took 11 wickets for Afghanistan.