Hi Roger many thanks for the prompt and thoughtful response!
I'll be getting a HDMI to RCA/ S video converter AND a HDMI splitter now - super suggestion!
I have a 2002 original home cinema projector Sony VPL HS1 which has been dormant for a decade since I got a more modern NEC in 2008 (1400 Lumens) but a new bulb has the Sony working well again and still giving a remarkably good picture despite only being 700 ANSI Lumens and quite low spec by modern standards.
The reason I've held off getting a more modern projector is that as well as using it for movies/DVD/Blue ray and TV dramas etc, I'm a sports lover and a HD TV does a far better job with a fast moving ball than the older projectors. I also want the ability to have full "lights on" projection during the day (or just a brighter picture at night) so perhaps a minimum of 3000 lumens (what is the point in getting a modern projector and having to close the blinds or curtains?)
I also want 3D as I like my 2012 LG HD TV with "passive" 3D (ie inexpensive cinema type rather than battery operated "active" glasses) and a built in 2D to 3D converter, which does moderately improve viewing of all types of programmes, and a facility which used be included with projectors but no longer is.
With 3D no longer so popular and so few sources, it does seem odd that the most modern fully equipped 3D equipped projectors don't include 2D to 3D converters, not only an opportunity lost but indeed one for some manufacturer to reintroduce, as with so many products quite similar now, this could be a much sought "competitive advantage"!
NOW after a looooooooong wait, it does seem that Optoma have obliged with their new UHD38 model, designed for gaming with lightning fast response times also good for sport (especially tennis and golf I suspect) AND 4000 lumens AND full 3D support if not 2D to 3D conversion.
Optoma's spec including top quality black
https://www.optomaeurope.com/product-details/uhd38
doesn't seem to be matched by all the reviews eg
https://www.trustedreviews.com/reviews/optoma-uhd38
which suggest it isn't perfect, with blacks not so good for movies, so it seems having decided I'd need to get a laser projector, that manufacturers are getting closer to the requirements I seek at non laser prices!
I'm waiting to see what develops in the near future and hence a new bulb in my 2002 Sony VPL HS1 will "make do" just for the moment - with a HDMI to RCA/S video converter and HDMI splitter for viewing of TV pictures from the 360 Box!!
Many thanks for the apt, accurate and prompt response!!