48 FPS on bluray

For the first part of your question, no, not currently, though it can do 50/60 fps at 720p.
http://www.avsforum.com/avs-vb/showthread.php?t=1328203

Many CRT projectors can display it properly.

Can these receive a 3D, full HD (per eye), 48 fps per eye signal via HDMI and display it properly? Or 2D 48 fps full HD via HDMI?

The footage shown at CinemaCon for THE HOBBITT was 48 FPS 3D. No - BR cannot handle that format at this time. Nor are there any consumer displays that can either.

Why is that? Any 60hz display has no trouble displaying every frame of a 60 fps video game. If I record a 60 fps video on my digital camera and download it to my PC, I can display it in 60 fps on any HDTV or LCD monitor.

The reason 48 fps 3D, or 2D for that matter, is a no go for CE equipment is that nobody planned for it. There are problems at every step in the chain from source to display. There is no BD format for it, current BD players wouldn't recognize it if there were, HDMI doesn't have tokens for 48 fps content (although it could transmit content with the appropriate vsync), and the displays don't know how to convert it to their native frame rate. There is also the problem that 48 fps 3D requires a bit rate that is higher than CE products have been able to handle until recently. There are still a lot of products out there with chipsets that can just handle 1080p60 2D.
Edited by Colm - 2/23/13 at 6:28pm