My Pentax KX has a MLU, and I think the K2 and MX do as well.
Can confirm the KX does. The MX doesn't officially, but it does have a noticeable two-stage shutter release where, with a deft touch, one can flip the mirror before releasing the shutter itself.
Just doing a quick bit of Googling, apparently this "feature" varies considerably between individual cameras. Also, I'm not sure exactly how useful it is unless you can trigger it via a cable release.
Interestingly a few other cameras I have in my collection have the same "feature", namely an (extremely well used) Nikon F and, weirdly for an electronic shutter camera, an Olympus OM30.