4 non keepers have taken 10+ wickets in a test series 4 times
Simpson
Aus in SA 1957/58 (13), Frank Worrell Trophy 1960/61 (13), Ashes 1964 (10) and Frank Worrell Trophy 1964/65 (11)
I.Chappell
Frank Worrell Trophy 1968/69 (10), Aus in Ind 1969/70 (10), NZ in Aus 1973/74 (10)***, The Ashes 1974/75 (11)*
Botham
Ashes 1978/79 (11)*, Ind in Eng 1979 (10)**, Ashes 1981 (12)*, Ashes 1986/87 (10)**
M.Waugh
Frank Worrell Trophy 1990/91 (10), Ind in Aus 1991/92 (10), Ashes 1998/99 (10), Frank Worrell Trophy 2000/01 (11)
And one bloke has done it 6 times
Smith
Warne-Muralitharan Trophy 2016 (10)***, Ashes 2017/18 (10), Ashes 2019 (12)**, Ashes 2021/22 (11), Ashes 2023 (11), Border-Gavaskar Trophy 2024/25 (12)
*6 tests
**4 tests
***3 tests
Stephen Fleming took 10 catches in a 2 test series against Zimbabwe in 97/98.
Multiple occasions multiple players have done it in the same series, the most recent being the 2023 Ashes with both Smith and Root taking 11 catches.
The most players was in the 74/75 Ashes (6 test series) with Greg Chappell, Ian Chappell, Tony Greig and Ian Redpath all taking more than 10 catches.
In a 5 test series, 3 players have achieved this twice, both series involving the same teams in the same location. Rhodes, Vogler and Woolley (Eng in SA 1909/10) and Cowdrey, Endean and Goddard (Eng in SA 1956/57)