When I try to beam from the S3 to the GNex (I'm in Gallery on the S3):
Select Photo on S3
Touch to Beam
Gnex goes to Play Store to get an app, and ends up at a screen that says "Item Nit Found" with a "Retry" button that continues to return to the same screen. S3 has a screen that says "S Beam", "No file selected. Select a file to send and try again" and a button that says "OK". Hitting the "OK" button, returns it to the picture I tried to send previously.
I'm not sure, but I have read that the app the Gnex is trying to get is the Gallery app on the S3. I've tried sideloading the GNex Gallery app on the S3 and using that, but with no luck.
What's a logcat? I'll get that for you if I knew what it was and how to get it.
You might have guessed that this is really starting to become a quest on my part!