Tokyo, 1~2LDK (~60m2) range.
I moved about 6 times for various reason, including pure curiosity. Everytime I had the issue.
Now, the vendor might not explicit the restrictions. Sometimes we talked for 10~20 min, I ask for the full binder of offers to look for myself and am told some of them won’t be available.
Or some of the agency people woud pre-filter the offer they hand over, and when you ask to see some they removed they’ll explain those “were burned by previous foreign renters” (that’s the canned response)
Also your friends and co-worker might be part of other demographics where they are exempted. For instance single white women in their 20s will get a pass on basically most conditions (except revenue of course).
Also working in a super top tier national company (i.e NEC, NTT, Sony, softbank etc.) will open a lot of doors. You are asked upfront about your employment so you won’t hit further roadblocks at this point.