Using a soviet-made 1801vm2 CPU (a binary-compatible implementation of the PDP11 instruction set and QBUS interface) and a Lattice HX8K FPGA, I developed a somewhat PDP11-compatible single (or, rather, triple-) board computer.
Image without RAM attached:

The source code can be found at https://bitbucket.org/cfib90/1801vm2 (may be outdated)
It emulates in hardware (and host software)
Additionally, I attached a small verilog square wave audio synthesizer from another project :)
It runs:
DEC Paper Tape Basic (See https://twitter.com/_stderr/status/947892349098778625)
Auto-generated song files (from MIDI)
Video: https://twitter.com/_stderr/status/957027921293643777
MIDI-to-MACRO11 converter: https://bitbucket.org/snippets/cfib90/bey6ax
DEC's RT11 operating system from an emulated RK05 hard disk!! (See https://twitter.com/_stderr/status/972587793443672070)
It does not run:
UNIX due to its lack of an MMU/Virtual memory :(
Mini-UNIX due to some HW bugs I did not identify yet :(