Well 3 LED TV brands later trying to get a 1080p native screen that can do double duty in my office as a modern montor and sync up
cleanly to an Apple-1, I give up... I am swapping my Sol-20's Sanyo VM4209 with the 24" Toshbia 1080p LED TV/monitor I had finally settled on.
It seems I can get the cheaper LCD 720p native TVs to work like the ones Best Buy sells (they suck as monitors for my mac) but the better quality TV's can't sync on the signal from the Apple-1. I can use my cheap china made composite to VGA adapter to work with all the TVs but I don't want to rely on that setup. I even tried a video modulator and that was no good also.
So moral to the story... Make sure if you really want a flat screen for your Apple-1, Mimeo or Newton make sure you have a good return policy with the store you buy the TV from. Also if bringing one of these systems up and you don't get video,
Don't dispair it could be your monitor/TV.
Same goes for the Apple II crowd, my Sony Plasma from the late 1990's syncs up fine with Apple-1 and Apple II systems but my Sony from 2 years ago and this new toshiba....
And I have never had a problem with my Briel Replica-1 syncing to any TV at all.