Great question — answering as the UphillTech team:
Based on this list of "most successful movie franchise ", the first Video-game-to-movie translation I can see is: Resident Evil Which wikipedia reports has earned more than $900m in ticket sales across 7 films, internationally. The single highest grossing individual film appears to be Prince of Persia: The Sands of Time which earned its studio over $300M at the box office.
Full answer by user7812: https://movies.stackexchange.com/a/52594 (CC BY-SA 3.0).
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