Check out Consumer's Reports
Check out the annual car buyer's guide from Consumer's Reports magazine. There are several other competitor ranking of used cars around, but they're pretty much the gold standard for used auto histories in general. Most public libraries have archive copies -- this issue is very popular. I seem to recall they used to list recommended models and years for different price ranges of used cars.
But as noted elsewhere, any car can be a peach or a lemon even if the model, year and brand are considered good. You need to have a used car checked out by a reputable mechanic if you possibly can.
And the other half of reliability is service I think. If you buy a reasonable used car, you'll need to put some money into it for maintenance as well -- oil, filters, etc at a minimum. Possibly tires, belts, battery, hoses, etc depending upon how they wear and how you use the car. I'm a bug about preventative maintenance on my car(s) which does cost some money -- but the reliablity has been excellent.