In January 2020 (pre-Covid!) I bought a PDP11/34 off eBay.
According to the previous owner, it was used in the Austrian Research Centre Seibersdorf.
Here is the machine:

It came filled with cards:
Over the course of the first lockdown in Spring 2020, I replaced all electrolytic capacitors in the PSU and successfully started it.
I also had to replace a failed 7812 voltage regulator and the caps on one of the M7891 RAM boards.
It successfully boots RT-11 off of an emulated TU58 and even assembled some MACRO11 programs!
My ultimate plan is to boot UNIX or Mini-UNIX, but this requires some more work on the disk subsystem.
See some more information here