These are really great little cars, and they're very easy to fall in love with. You HAVE to give yours a name, and wave to any other Minor drivers you see!
The beauty of them is that you can fix all the mechanicals yourself even with very little knowledge of car mechanics - they're that simple. They are the perfect car for people who don't mind doing the odd thing themselves, as they need servicing reasonably regularly. It really does cut down the already low cost of ownership.
For a 35 year old car it really is very good and quite reliable - I use mine every day as my only car and it has never let me down (well, I have never been unable to start it by some means or another). It's perfectly adequate as an around-town car, although it does tend to be a bit breathless on the open road. It will cruise at 50-60 quite happily, but it's quite noisy. Compared with modern cars, the brakes are a bit poor and you certainly need to keep them in good order. Strong legs are definitely a plus, because there's no brake servo! Apart from that, they're very easy to drive, with good handling - just watch it in the wet - the tyres are quite thin.
Inside, the seats are reasonably comfortable if you're not too tall (I'm 5'7" and they're fine), with reasonable legroom in the back for a car of it's size. The boot is a bit of an odd shape, but can still swallow quite a few bags. The heater is quite effective once it gets up to temperature which takes a maximum of three minutes even on a cold day.
If you're interested in car safety I'd suggest you look elsewhere - ones built after 1965 will have front seat belts, but you'll only get rear ones if they've been retro-fitted (which mine hasn't). No airbags, crumple zones or such like here!
As with all older cars they are much more prone to being eaten alive with rust than modern ones. Check the vital points and common rot-spots carefully on any potential purchase, as welding is expensive. Information on how to check is available from clubs and in magazines. If you have one, keep the car in a garage. It is more secure and will keep the body in better condition for longer. Apply plenty of waxoyl and remember to wash off mud and salt periodically.
Generally, I'd say they are great little cars that are well worth investigating if you want something a little bit different as a run-around. They're quite reliable cars and very tough. Just make sure the one you buy isn't too rusty. Mine is my first car, and I certainly haven't been disappointed. The running costs and insurance rates are also very low compared too many modern cars, and they hold their value well if kept in good nick.