I have basically the same problems (different BSOD, crashing processes, Windows freezing completely) with the VMware Fusion 13.0.0 on MacOS 13.1 with Windows 11 Pro (all have the latest updates) as long as "Enable hypervisor applications in this virtual machine" is enabled (and actually used).
Took me some time till I figured this out. First I migrated my Windows 10 VM from Parallels which started crashing and at first I thought it has something to do with the graphics driver. Then I installed a fresh Windows 11 Pro which started crashing and freezing as soon as I installed WSL incl. the Virtual Machine Platform. As long as "Enable hypervisor applications in this virtual machine" was enabled, but WSL/Virtual Machine Platform was not installed, everything was fine, and when both are installed, but "Enable hypervisor applications in this virtual machine" is disabled, it's fine too.
I switched from Parallels because they can do nested virtualization only with they own hypervisor which is deprecated and I read that VMware Fusion can do nested virtualization with the Apple hypervisor, but seems that this is not really the case, at least if it is supposted to actually work. 