So at the moment we have
The Ashes (England–Australia)
Frank Worrell Trophy (Australia–West Indies)
Trans-Tasman Trophy (Australia–New Zealand Test series)
Chappell–Hadlee Trophy (Australia–New Zealand ODI series)
Border-Gavaskar Trophy (Australia–India)
Wisden Trophy (England–West Indies)
Warne–Muralidaran Trophy (Australia–Sri Lanka)
Basil D'Oliveira Trophy (England–South Africa)
Pataudi Trophy (England–India Test Matches played in England)
Sir Vivian Richards Trophy (South Africa–West Indies)
Sobers–Tissera Trophy (West Indies–Sri Lanka)
Anthony de Mello Trophy (England–India Test Matches played in India)
Freedom Trophy (India–South Africa)
Ganguly-Durjoy Trophy (India–Bangladesh Test series)
Clive Lloyd Trophy (West Indies–Zimbabwe)
I would nominate Wasim-Akram-Mike Atherton Trophy as a worthy name for Pakistan-England series. I did think Botham-Imran series but there was real hatred between those two so unsure that would cut it.
Any suggestions?
The Ashes (England–Australia)
Frank Worrell Trophy (Australia–West Indies)
Trans-Tasman Trophy (Australia–New Zealand Test series)
Chappell–Hadlee Trophy (Australia–New Zealand ODI series)
Border-Gavaskar Trophy (Australia–India)
Wisden Trophy (England–West Indies)
Warne–Muralidaran Trophy (Australia–Sri Lanka)
Basil D'Oliveira Trophy (England–South Africa)
Pataudi Trophy (England–India Test Matches played in England)
Sir Vivian Richards Trophy (South Africa–West Indies)
Sobers–Tissera Trophy (West Indies–Sri Lanka)
Anthony de Mello Trophy (England–India Test Matches played in India)
Freedom Trophy (India–South Africa)
Ganguly-Durjoy Trophy (India–Bangladesh Test series)
Clive Lloyd Trophy (West Indies–Zimbabwe)
I would nominate Wasim-Akram-Mike Atherton Trophy as a worthy name for Pakistan-England series. I did think Botham-Imran series but there was real hatred between those two so unsure that would cut it.
Any suggestions?

) this is the only trophy name i can get behind. Just perfect!
Best suggestion.