Coloured lenses
Coloured lenses is just about the only way this can be done without replacing every TV.
The Beeb did a 3D week many many (like 20?) years ago with the different neutral density filter glasses, which work on the theory that the slightly darker eye serves a subtly delayed signal to the brain, and only worked with (if I recall correctly) left to right moving action (but was otherwise normal viewing). They even shot a Dr Who episode to take advantage of it.
Prismatic screens have very few and very distinct layers, and a smallish 'sweet spot' - that said I saw them in action just playing adverts in a Bangkok shopping centre 4-5 years ago, each set had a gathering of men (the women seemed unimpressed?! Why? It's a miracle!) just staring at those adverts. I'm gobsmacked we haven't seen them playing ads in UK shopping centres.
The LCD shuttering method is horrible, and requires the glasses to be synchronised to the vertical interval on the TV scan. If it's off-perfect, it's instant headache, and the glasses are not freebieable.
The best available that I've seen is the polarising lenses, which requires special projection, but has natural colours. It's excellent, but won't work at home on a regular set.
As for the Queen's Coronation, I've seen it. It was shot 3D, but there was a slight skew on one of the 35mm cameras used, so before the processing power caught up, the prints were unusable for 3D (but you'll recognise most of the shots from 2D playbacks anyway). Whereas the vogue for 3D now is for things to pop out of the screen, the coronation was shot so it appears as if you're watching through a window. The lovely guys from Axis at Concrete (Dean St) did the corrections on it, I believe. If you want to shoot for 3D, talk to those guys, very very helpful.