At the sub-$2,000 level, the traditional rules of dealership browsing often fall away.
Often overlooked American sedans like the Buick LeSabre (with the 3.8L V6 engine), the Ford Focus (2008–2011), or the Mercury Grand Marquis can be found cheaply and are relatively easy to repair.
At this price, every car will have a flaw. The goal is to avoid "fatal" flaws.