All of those cars are compacts or subcompacts, so if size is an issue, keep that in mind. That said, I'd say they're all good options with except maybe the Dart and the Mirage. The Dart is middling territory, just like the Malibu is, and the Mirage is pretty rough all around. From what I've heard about Mini, crazy as it sounds as it's owned by BMW, they actually have a really spotty reliability records and repair bills for them can be on the more expensive side of things. Here's a quick breakdown on affordable mid-size sedans with reliability ratings.
Problem is that sedans, because of their larger size, often have lower fuel efficiency - which HeathenFairy pointed out is a valuable trait for a car to have. And sedans, because they're larger, also are more expensive - the top 10 of your link, for instance, has a MRSP of between $25k and $30k - which seems like just above what HeathenFairy seems to have a budget for.
Hmm. He didn't list specifics for either. The mpg thing is a bit of a sacrifice with mid-size sedans, yes, but still with cars today the milage is probably better than what they're currently driving. As for price, with the right dealer incentives and some savy shopping, you can get a mid-size sedan for a compact price. You just gotta be careful, cause it's financing tricks that make dealerships money.