The greatest number of runs in all forms of List A cricket is 22211, scored by Graham Gooch between 1973 and 1997.
Of players who have played in the most recent Southern Hemisphere season of 2010-11, Sachin Tendulkar has scored 21663 List A runs since the start of his List A career in 1989-90.
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It depends if you are asking about just international or first class aswell. However the player with the highest score last time i checked mas Brendon Mccullum.