To experience the Jaeger vs. Kaiju combat on a PC, fans typically rely on two unofficial methods: Pacific Rim PS3 All DLCS - Thank me later :) : r/PacificRim
If you are a strategy fan, Into the Breach by Subset Games is not Pacific Rim IP, but it is the best Kaiju-vs-Mech tactical game ever made. You control three mechs against giant creatures. It is available for cheap on Steam and GOG.
However, history is tricky. In 2013, Reliance Entertainment released Pacific Rim: The Video Game for Arcades and mobile devices (iOS/Android). It was a 3D brawler with decent graphics, but it was . Later, in 2018, Pacific Rim: Breach Wars launched as a mobile match-3/RPG hybrid. Again, not for PC.