Going through the rest of the unsure stuff and trying to add information.

October 22, 1989 9:30 Club, Wash DC:
A recollection from NIN's tour manager of opening for MBM at 9:30 Club:
https://www.clevescene.com/cleveland...nt?oid=1492360

Listing on MBM fan site (from the 90's) of the 9:30 show, including NIN opening:
http://www.digitalchemist.com/mbm/history/1989.shtml

December 08, 1989, Sonic, NYC:
This guy has vivid memories of seeing NIN at Sonic:
https://vassifer.blogs.com/alexinnyc...n_sincecl.html
https://vassifer.blogs.com/alexinnyc...ies-redux.html

NIN Historian says he got the date and venue from a show handbill. I have not had success locating that handbill yet.

Here is information about Sonic club opening in Sept. 1989:
https://www.newspapers.com/image/467000536/

July 24 1990, Bermudas, Milwaukee, WI:
I think you should add this as a Not Sure. I think I ran across someone mentioning seeing them at Bermudas once, but can't find it now.

Other stuff I found:
Newspaper clipping for July 11, 1990 9:30 show:
https://www.avnirvana.com/threads/great-venues.115/