[Donjon]

For a similar reason, 3D movie projection works with DLP projectors, but not with standard LCD projectors.

It works fine with LCD! There have been plenty of home systems (both projectors and televisions) that used an LCD display and LCD shutter glasses - all you need to do is to have the same polarisation in the display device and the glasses. This was used in home theatre applications for both 3D projectors as well as 3D televisions.

Passive glasses (which just have vertical polarising filter for one eye and horizontal for the other) are also possible by building a panel which has odd lines in one polarisation and even in the other, albeit at the cost of losing half the resolution. There are also several home systems that use this.

However, the 3D effect adds little to the cinematic experience (plus the panels are always slightly grey, so the image on a projector can be quite dim), so whilst paying a few dollars extra for the gimmick might be entertaining in the cinema it wasn't a huge commercial success in the home and it's essentially dead today.

All of the above is perhaps solvable with enough thinking and work. The stereo timing signal could be adjusted or delayed based on the LCD panel latency. The left and right frames could be interspersed with black video frames to ensure that each eye starts out viewing a black screen. Some fancy-dancy FPGA box could digitize the signal and insert these changes (like the GBS converter does for CGA signals). But a problem is lurking within these anodyne descriptions. LCD displays work by polarizing light. There is a polaroid film behind and in front of the liquid crystal panel.

If you're getting into fancy-dancy FPGA stuff, you might as well digitise the signal and convert it into one of the recognised 3D formats - the top-bottom frame packing 3D format required of 3D displays in HDMI1.4 is quite similar to what an SGI is outputting for  quadbuffered stereo, although only a 720p (50 or 60 Hz) and 1080p (24Hz) are required by the HDMI1.4 standard.

However, just delaying a single, fairly slow digital signal is something that should be quite comfortably handled by a cheap microcontroller, especially as the precision required isn't huge. The same microcontroller should also be able to handle transmission of a variety of IR glasses protocols, meaning scouring eBay for reasonably priced CrystalEyes glasses and transmitters wouldn't be needed.