The most appropriate audit for addressing the developer's reputation and ensuring the stability of future video game releases would be:
This developer should conduct a system audit of their system for tracking and resolving code issues that lead to graphical, physical, and procedural bugs in video games.
This audit would focus directly on the core issues related to the bugs reported in the games, allowing the developer to identify and rectify problems in their coding and testing processes, ultimately leading to more stable and polished game releases.