The one Explore feature I use all the time and haven't figured out how to use in MC is the Recent Places link that shows up in the Favorites section of the left-hand navigation panel.
I use it constantly to get back to a folder I'm working in somewhere on some disk when I have three or four different programs working on content in that folder. Each program wants to save and open things wherever it did last, but I can repoint it using the Recent Places link. And when I want to get back to that folder an hour later with Explorer, the Recent Places link takes me there.
MC has so many features that I keep expecting to find it somewhere, but I haven't yet.