They should, unless you’re talking about a different system.
Across brands no they will not work unless you get lucky and find a converter, which in the end you’ll have to use manual anyway and won’t get any exposure info etc.
With Nikon you can use all of their lenses since the early 60s.
With Canon depending on what camera you have, their EOS system only goes into the late 80s.
Unsure about other models, but Olympus.. yes all Olympus brand lenses (unless said otherwise by companies making third party lenses for the Olympus three-quarter system) will work on an Olympus body.
It doesn’t have to be Olympus brand, but it MUST be “made for Olympus dSLRs”
if it doesn’t say made for Olympus dSLR or Olympus Three Quarter system, then it will not mount, making it worthless.