the specific routes you mention have genuine First Class facilities as mentioned above, if you are talking LNER, LNER, GWR. Although all of those routes are seeing new carriages which may or may not be as posh in First as the old ones.
Or you might choose Lumo between London and Edinburgh. They don't do First Class at all, they try but don't always succeed at being cheapest and they don't serve York. They have very strict luggage rules, and like airlines the more you pay the more you can carry. Only some of the train cars have luggage areas.
More generally, for those routes and lines still having First - a number have now declassified First and provide no First service at all - it varies all over the board. There are dozens of carriage types - we call that the class of unit, as opposed to first/standard - and each company approaches First differently. You may get a meal, probably not, or a trip to the buffet car, or coffee / tea at seat or in a paper cup from the buffet, or just a bigger seat and nothing else, to on a class 350 / 450 a tiny recline on an otherwise identical seat in a small glassed off area. Some are at one end of the train (usually the London end), some are within the train where the hoi polloi can walk through and disturb your peace. Sometimes value for money, sometimes not.
I travel in first when I'm invited by the crew (I know many of them), not when I'm not. I won't pay for it.