On an old church projector, there was a button on the remote so I could freeze the screen. Then I could switch from PowerPoint to QuickTime Player (or whatever else) without disturbing everybody who was watching. Newer equipment (some projectors, most TVs) lack this feature. I'd like to build a box that stores the current frame in RAM, and has a simple toggle switch between the stored frame or the live video feed.
After a recommendation for the NeTV, I asked bunnie, and he said that the NeTV2 is a good choice for HDMI. It's pretty expensive though, and doesn't support HDCP.
https://github.com/AlphamaxMedia/netv2-ideas/issues/21
If anybody else has some guidance about how to proceed with this project, or some mutual interest that could translate into nagging me to actually do it, please get in touch!