I know quite a few people that have basic dumb phones still. My girlfriend would still be using her old Nokia dumb phone if I had not persuaded her to take my old Samsung Galaxy S2.
The phones are still being made and sold at a vastly reduced price. I can buy a dumb phone burner in a shop for about ?10 and the guy I spoke to in a phone shop that sold them said they sell quite a few to people that just want a phone that makes calls and receives texts without any fuss (admittedly, usually the older generation).