Pretty much what everyone else said.
Get it checked by a mechanic you trust
before you buy. If the seller won't let you, then that's a good sign you don't want that car.
Also, if the seller doesn't have the title, I'd say "no sale" right off the bat. If they don't have it, it's a sign that either they're not bothered enough about the car to even keep track of the title, or something's up with that car (stolen, totaled, whatever).
Take a look at the title too, and make sure it doesn't say anything that raises an eyebrow, like salvaged or flood damage or whatever.
One of the most important things to look at in my opinion is the actual person selling the car. What kind of person are they? It'll often give you clues about how well the car was taken care of, and how they drove it. You don't want to buy a secondhand car that's been driven by a teenager.
Consumer Reports is a good place to look up reviews on used cars. They send me a whole book every year on car buying - what's good, what's not so good, what holds its value best after a few years, what kind of mileage you'll really get (don't trust the window stickers!), safety ratings, what kinds of problems are most likely to pop up depending on the age of the vehicle, how comfortable the car is, etc.
It's a great place to check out almost anything you're looking to buy.

