Well, for me, anything with front-wheel drive is mostly "meh". Rear wheel drive is fine when you live somewhere with mostly nice weather all year long. But when the weather is regulary cold and/or wet, nothing beats AWD. And 4WD is mostly nice for off-road and really bad weather.
Reliability is very important. Brands (like Subaru) who give you a free 24/7 help on breakdown service worldwide are best. They're simply quite sure you're most likely never going to need it.
Further, I steer clear of brands/models with a lot of status attached. For example, the very popular VW Golf (small hatchback) only has a single, very basic model (Trendline), with 1.4 and 1.6 L engines that is cheaper than my 2.0 L Impreza. Heck, most of them are even more expensive than an Impreza WRX, while they cannot compare at all on interior or driving and handling. And the best example is Audi: they actually hire transponders on all popular satellites that are pointed at their target markets, so all potential buyers can watch their advertizing 24/7. You pay for that. And people who value status over all do so.
Next are driving and handling. It has to feel easy accelerating and cornering at a fair clip. Enough HP to do that. Responsive, in any weather and off-road as well. Do what I tell it to, and be easy to correct if I come close to the limits. Simply fun to drive.
Of course, it should look good. But in my experience, if the first impression isn't negative and it is a great car, it'll grow on you.
Another thing I like very much is, that you don't see them very often on the roads. If you see your car everywhere, you're just one of many.
And last, but certainly not least, it should offer you good bang for your buck, and be within your budget.
Digi, how about you make such a list as well? That would make it a lot easier for us to help you find one.