Most of my cars have been around that price. (Some a lot cheaper, but prices seem to have went up in the past few years).
Current car was £750. I’ve changed the exhaust (which I knew it needed when I bought it), the brake pads, tyres, battery, and a couple of bulbs. All consumable items really. That’s all it’s needed in 3 years. Straight through every MOT.
It’s easy to buy a dog too though. Personally I’d go Japanese and ask someone to help sniff some out, or at the very least come and look at it when you buy it.
As a general rule, in this kind of price range, the vast majority of people are looking for something not just cheap to buy, but cheap to run. Meaning small cars fetch much bigger premiums than big ones. You’ll struggle to find any kind of supermini for this cash which is in good condition. They get snapped up right away when the price is low. On the other hand, if you fancy a big V8 or something (OK, maybe not a V8, but you get the idea) people can barely give them away. You can get some absolutely mint cars for insane prices. And of course, there’ll always be something in the middle.
It does help not to be afraid to get your hands dirty. (There’s plenty of info online if you suddenly need a crash course on fixing cars. The owners clubs are ideal, because they know all the common faults). Old cars do tend to come with a bit of character. A few squeaks and knocks maybe. You’ll often find they’re very simple fixes. Sometimes it’s easier just to live with them.
As said already though, much of the cost comes from elsewhere. Fuel, tax, insurance, MOT, servicing….it’s never cheap. But it doesn;t have to cost you an arm and a leg.