By the time you factor in shipping costs, insurance, handling fees, winter wheels/tyres, block/coolant heater, interior heater, import inspection (which you pay for...about 300 euro), katsastus (annual inspection).... Then the fact you must keep the car for 24 months after it's 'cleared', the fact nobody else (except a spouse) may drive it, possible complications with spares (depending on vehicle make/model/specification)....
I've done it. From within the EU. Tax Free, as they say here. Honestly, I wouldn't bother doing it again.
Depending on the fuel economy of your own car, you might rule it out entirely. Petrol is running at about Eur 6/US$ 6.50 per US Gallon at the moment, for regular, not premium. If you're doing anything more than short runs about town, much more than a 2L turbo may be much more expensive to run than you'd like.
Have a look on Nettiauto. Here's a listing for petrol (Gas) engined, automatic transmission Skoda Octavia's, up to 10 years old, just as an example:
http://www.nettiauto.com/en/skoda/octav ... yfrom=2005
I picked the Octavia as it's a common, popular model of saloon here. They're reliable, affordable for servicing and take mileage really well. They're very popular in many European countries as taxis, so you know they won't break the bank in running costs.
I can see a couple of great looking options there from dealers, all ready to go with summer and winter wheels and tyres, heated seats, winter pack setup etc. Don't be put off by higher mileage than you may see in the US. The very thorough annual inspection plus the long distances here mean cars are well maintained but accrue mileage more rapidly than in other countries/locations. 1000kms is about 600 miles, for reference, for someone else reading this later even if not for you.
Most will have textile seats or occasionally half leather types. That surprised me, but a leather seat is miserable to heat in the winter, so the smart Finn lets his ass do the thinking on this one and picks textile seats. I'm convinced. I'd rather give the seats a clean more often than have to freeze in a leather seat during the winter and roast during the summer. This may all be known to you, but I'm conscious others will read it for ever more on the internet...
The site is in English also, so you can have a look and play around with different cars/specs and see how it will all work out. Keep in mind that diesel cars attract additional annual motor taxes, so unless you'll be driving upwards of 25k miles or so, petrol will be cheaper.
I'd also avoid thinking that a US import will be attractive here, if it's a run of the mill family sedan/wagon. From what I've seen, Finns prefer cars which were originally sold in Finland as they know they're a full nordic spec car with all the associated options to make winter driving comfortable. It was around -18C today in Helsinki. That's must below 0F. A car without the full complement of heaters is hell here in the winter. Don't underestimate it. I did and it cost me a small fortune to prepare my Euro spec car for motoring over here.
Hope that's helpful.