Here is some basic information and a short FAQ with information current as of September 22, 2012.
There are several "frame compatible" 3D methods such as "side-by-side" and "top-and-bottom". These 3D methods are simple to send and store since they fit the video for both eyes into a single video frame but that means they only offer half resolution per eye 3D video. The highest quality 3D video is full resolution per eye 3D video. There are several different terms used for full resolution per eye 3D video at 1080p60 with the HDMI organization using the term "1080p60 Frame Packing", AMD using the term "1080p60 Stereoscopic 3D", and through most of the thread I use the term "1080p60 per eye 3D video".
When the HDMI 1.4a specification was released on March 4, 2010 it required that 3D HDMI devices support mandatory 3D formats (such as 1080p24) which can be seen in this HDMI press release. 1080p60 Frame Packing was optional and it wasn't until May 2011 that a company announced 300 MHz HDMI chips capable of it. The technical details can be found in this thread and in this post on 297 MHz bandwidth. As such products that support 1080p60 Frame Packing (or 2160p30) require HDMI chips that are capable of 297 MHz bandwidth. 300 MHz HDMI chips are also called 3 GHz HDMI chips. Both numbers are technically correct since it depends on whether you measure the clock rate or the raw data rate.
The first consumer product capable of 1080p60 Frame Packing was the AMD HD Radeon 7970 which was released on January 9, 2012. This was followed by several additional AMD cards so that on March 19, 2012 there were a total of six AMD cards ranging from $109 to $549 MSRP that were capable of 1080p60 Frame Packing. On March 22, 2012 the NVIDIA GeForce GTX 680 was released which based on current information is most likely capable of 1080p60 Frame Packing. Several additional NVIDIA cards have been released since than and had their HDMI output tested at 4K resolution which proves that they use 300 MHz HDMI chips.
Should I be concerned about 1080p60 per eye 3D video?
A HTPC can be capable of it today and for game consoles this will likely be an issue within 3 years. For major Hollywood movies though it depends if future movies are made at 60 fps 3D.
Are there any Hollywood movies that would benefit from 1080p60 Frame Packing?
No, and that even applies to Hollywood movies currently in production since The Hobbit movies are being made at 48 fps 3D. James Cameron has said that he personally prefers 60 fps over 48 fps but even if he uses 60 fps 3D for Avatar 2 it is years away from being released.
Will AV receivers from 2011 or earlier support 1080p60 Frame Packing?
No, and only AV receivers that are capable of input, switching, and output of a 1080p60 Frame Packing signal will be able to support it. The only exception to this might be modular AV receivers that use add-in modules for HDMI switching.
Do current High Speed HDMI cables work with 1080p60 Frame Packing?
Yes, and High Speed HDMI cables are tested at 340 MHz which is even higher than the 297 MHz bandwidth needed for 1080p60 Frame Packing.
What consumer products are currently capable of 1080p60 Frame Packing?
Silicon Image recently announced in a press release that HDMI chips with a bandwidth of 300 MHz are currently sampling (which means that the mass production of them will begin later this year). As explained in this thread to send a 1080p60 per eye 3D signal requires a bandwidth of 297 MHz. As such CE products that support 1080p60 per eye 3D over HDMI 1.4a will be possible in 2012.