I think its a shame that a 95 car in good condition might be considered fit only for scrap.
If you took it to a scrapper, they'll (gleefully) give you scrap value for it (before selling it for a lot more) so clearly any money you might get for the car is not important?
Granted, you don't want the bother of taxing and NCT-ing the car, but perhaps someone you know or a friend of a friend might be interested in the car on a take-it-away-as-seen basis. They could organise the tax and NCT themselves?
There is definitely a strong market out there for older, smaller cars, which are cheaper to buy, run and insure. I don't think you would find it such a hassle to sell.
I once put a broken down car in the Buy&Sell with the description 'Too good to scrap - free to good home' and it was gone in three days, no bother.