Russell Westbrook and Kevin Johnson were tied for the most games with 35+ points and 20+ assists, with 1 game.

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who has the most career games with 35 points, 20 assists
Interpreted as:
Who has the most career regular-season games with 35 or more points, 20 or more assists?
WestbrookJohnson11
NAMEGPPTSASTMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINREBSTLBLKTOVPF+/-
Russell WestbrookRussell Westbrook1352139.335.014.021.02.01.04.014.026.053.84.06.066.73.05.060.039142143+7
Kevin JohnsonKevin Johnson1372042.037.03.020.02.00.04.013.021.061.90.01.00.011.013.084.64232042
StatMuse has game-level data for assists going back to the 1982-83 season.