Black level performance leaves much to be desired. On the other hand, shadow detail is definitely pretty good.
Let's talk black level performance first. Although the MovieMate 85 claims 3000:1, it accomplishes its contrast with the help of a dynamic iris. That can lower blacks on really dark scenes, but over all, on brighter scenes, doesn't really bring anything to the party. Blacks show as fairly medium dark gray. I'm of course used to looking for nearly fully black blacks (very, very, very, dark, dark, gray). The combination of being an LCD projector with its inherent lower native contrast, and a low cost projector, leaves much to be desired on dark scenes.
In fairness, this projector is also, in Movie mode, about 2x as bright as the average home theater projector's "best" mode, and its "brightest" mode is well over 2x the average "bright" mode. That alone is enough to make for brighter blacks, even if they were far better.