I have almost exactly the same config: Netgear FVS318v3 router allows Pandora and Netflix queue discovery, but appears to be blocking Netflix image / video streaming to Samsung BD-P1600. I also tried placing BD-P1600 in DMZ. Samsung level 2 support was clueless.
My plan is to try the LG player. Sorry not to have better idea, I just wanted to attach to this thread should someone answer.
I am having trouble getting my new blu-ray player to stream netflix. I have the BD-P1600 connected to a Netgear FVS318v3 router. Network connectivity tests pass and Pandora streams without incident. My Netflix is clearly connecting because it downloads my playlist. However, it will not show the pictures of the movies on the playlist, nor will the videos play. (Also netflix works on my X360 with the router in place). When I bypass the router, netflix works without incident. But this is not a satisfactory option. We are hosting a web server and network security is critical, thus the firewall router. I have tried putting the BP in the router's DMZ to no avail.
Any ideas? I really want netflix to work!