I'd look at any Toyota or Honda that fits your needs. We have two Toyotas with 215k and 275k miles currently, and 07 and an 08. IMO, Peak Automotive reliability was about that time frame before everything became electronic and touch screen.
Another absolute GEM of a car is the Toyota Matrix/Pontiac Vibe. It's based on the Corolla Platform, but more of a high wagon. They're getting high mileage and beat up, but a well cared for example would be high on my list in the sub 10k car market if one showed up.
Avoid anything Hyundai or KIA. They have had a number of engine issues, theft issues, etc that can be big problems and there are a LOT of them in your price range. There are folks that get good service out of them and folks that are stuck with no car for months after the engine craps out, even under warranty.