1...I can’t work out whether (m)any new TVs (apart from very small ‘portable’ ones) now being sold actually have analogue tuners. The specifications very rarely, if ever, mention analogue tuners, and I wonder whether this is because they are invariably absent, or because they don’t bother mentioning them! On the face of it, apart from a few people like me (and maybe some using ancient recorders/players etc. which only have analogue outputs), I can’t see why anyone in the UK would want to buy a TV with an analogue tuner these days.
I haven't kept pace with the developments in tuners as digital has taken hold. For years I could of answered the question outright but sadly not now. You have all the TVs that have been around during the changeover that will be certainly dual standard. Like SimonH2 was saying they're made for a wide market and the chipsets will often have dual uses. (a classic example being PAL/NTSC and SECAM in the color sections of later gen analogue TVs). I would guess that the analogue frontend will actually persist due to bandwidth considerations during digital transmission, but at what point the ability to strip out an analogue TV channel is lost I'm not sure.
One thought - If you're trying to find a modern TV which will also accept analogue RF in, is to take with you an old VCR (some even had a test pattern gen built in on a switch at the back for setup purposes) or maybe a little test pattern generator with RF out on it (sometimes they come up for buttons on ebay, sadly I've just binned an old Philips PM5519!) and try it in the shop with the TV you're thinking of buying.
2...If, as I suspect, the answer to (1) is that few, if any, come with analogue tuners, are there any (ideally cheap and physically small!) ‘converters’ (essentially analogue tuners) around which will convert analogue RF into something (composite, HDMI, SCART or whatever) that can be plugged into a modern TV?
If you did go that route ....... The old analogue RF did ok with standard coax plugs on. When you're moving over to other uses of the cable keep your eye on signal quality of the coax connectors. Somes their intermittent connection on some of them leads to unpredictable behaviour for some stuff. Like Sky box remote 'eyes', they inject DC onto the cable to run the remote eye. If the connection (usually the middle pin) on the coax connector is dicky then the RF gets there but the DC doesn't and the eye doesn't work.
Alternatives would be F connectors or possibly one of the BNC types but it would depend on what came on the boxes.
If you did go for HDMI on RF looking at the max cable lengths some of HDMI transceivers them will achieve (limited to 200-300ft) suggests that the coax cable bandwidth is fairly well used. So depending on your run lengths, and existing cable spec, to use them at distance could be problematic. You'd need to decide what version of HDMI you would want to transmit and its bandwidth then the attenuation of the installed cable, then what the boxes are capable of (ie how much attenution can they stand before they fall over). Plus for HDMI you'd need a back channel for control of the source to be able to switch what was coming through if that's a requirement.
Look at this cable & its datasheet for representative data on losses in typical coax cable.
http://uk.farnell.com/pro-power/268770/cable-coax-tv-75r-per-m/dp/3855429
How many cars state (in the specs) that they have four wheels ?
That did make me laugh, but so true.
Actually, I can now think of a couple of tellies that I've seen without analogue tuners - but they were high-end monitors supplied with a video conferencing system with no tuners at all (it was an option, as was satellite, and a load of other stuff), and it was well before DVB was heard of.
Monitors with no tuners and video sources with no RF modulators were very common in the broadcast industry. Sometimes the better they were the less likely they were to have a tuner/modulator. They had no place as quality of picture was the overiding criteria, and if you wanted to screw a picture stick it through a modulator/tuner. I have a SVHS video machine here that was shockingly expensive in the 90s (yours for now circa £10 on ebay) which has most baseband sources out the back but no tuner. It was an optional extra.
One good reason to keep an analogue TV displaying a digital picture is that I've found that a decent analogue TV monitor with a freeview box in through SCART does a much better job of the picture than most current modern digital TVs do. After looking at loads of them in shops I came to the conclusion that the chipsets doing the actual screen driving were both too slow and often driving LCD panels that were not up to the job having a poor colour gamut. It was only the highend TVs that did both something like properly.
Some stuff I came across whilst googling
Not sure how much use it might be but for Freeview tech info look at
http://www.dtg.org.uk/publications/books.html
http://en.wikipedia.org/wiki/HDMI is useful too.
http://www.hdmi.org/prodFinder/ProductSearch.aspx maybe useful.
http://www.avsforum.com/t/996218/how-to-calculate-hdmi-bandwidth
http://www.avforums.com/forums/vide...-convert-hdmi-rf-coaxial-i-want-analogue.html