Tony Hawk's Pro Skater 2 is notoriously hard to run on modern systems due to the PC port being pretty bad. Using the latest Proton build (7.0-4 at the writing of this article) and the base game install will crash the game immediately upon launch.
To get the game running I was able to utilize a few techniques from the game's entry on PCGamingWiki:
MS/x86to the game's root
-F. This will skip the patch's start screen
For the Steam controller config I bound the following controls to mirror the standard PlayStation layout:
If you want to also have control over Nollie or Switch make sure to set those keys in the in-game control options. I ended up using the default keybindings because I didn't want to mess with both the Steam controller configuration and the in-game options.