I am so frustrated at this point. I thought I had the problem solved until recently. As an update, I swapped out all of my HDMI cables for certified cables. It actually seemed like the problem was worse at first. The other thing I did was turning off the CEC controls on all of the devices. After that, it seems that everything was working fine - we've been able to watch several movies without any problems. Last night, we were watching a blu ray and were again having 2 second long (approximately) video signal drops. I checked to ensure the firmware in the BDP, AVR, and TV were all up to date (they were) and that none of the CEC settings were accidentally turned back on (they weren't).
Back in June after I first reached out to this forum, I did hook up the BDP to the TV directly and watched a bit of a movie and did not have the problem. However, this problem is intermittent, so solving it is like proving a negative. I cannot prove that the problem is solved until I have watched a lot of movies and don't have any dropouts. I really don't want to watch hours and hours of movies with just the TV audio and, frankly, don't think I should have to do so.
One suggestion I found on the Philips website is to perform a "hotplug" in which I (1) disconnect the HDMI cable from the TV; (2) turn everything on; and (3) then reconnect the HDMI cable to the TV. I can try this but I'm not sure what it is supposed to accomplish. I also found a suggestion on the Denon website to move the HDMI connection for the BDP closer to the HDMI output on the back of the receiver. I can probably do this too.
That's the update on where I am with everything. If the above items don't work, I'm leaning toward a conclusion that the BDP is faulty since I have no issues with other inputs (e.g., cable box, PS3, Nintendo Wii U). If anyone has any suggestions for things I could try, I would appreciate it.