Yep, I just played one from my PC to the media player using Win7 “Play to”. I also know my TV likes MOV files, but not all TVs necessarily do.
An issue I ran into was not playing a MOV file streaming it with my Pogoplug software to my PC. Since MOV files are basically MP4 files, I renamed the MOV files as a MP4. It then streamed/played fine. So, try renaming an unplayable MOV files to a MP4 file, and see what happens.