I actually think a DeLorean would make a good winter-beater. Since the entire car is fiberglass you wouldn't have to worry about rust.
I would also get a Daewoo-Chevy such as a Aveo, Cruze, Sonic or Spark. Of course any late-model car would mean ripping out the Factory stereo as it would have useless features as well as disabling Airbags.
DeLoreans not exactly known for their reliability or practical ownership (especailly since the newest one is from 1983). They were manufactured for only 2 years, mostly because of quality issues and the fact no one bought them which created financial issues. So they're rare. Parts are actually not too tough to find or terribly expensive since they went out of business with a lot of parts on hand. There is a company that still manufactures parts for them and I believe the engines were sourced from another car company (Peugeot?). They're electrical nightmares from what I hear.
The entire car is not fiberglass... The interior shell/underbody of the car is fiberglass.
The exterior is stainless steel panels*. It still has a steel frame. So yes, the body won't rust, but the frame still can rust, which is the biggest rust concern in anyways. If you're worried about asthetics, stainless steal doesn't allow for much repair, you'd really have to replace the entire body panel. You can't bondo it, easily paint it, remove deep scratches, etc.. and it scratches and fingerprints easily.
My neighbor growing up had quite a car collection, including a DeLorean for a while. It'd be a cool car to own, but not a practical daily driver.
What are the "useless" features of a radio in a new car?
EDIT: *Unless you get the gold plated edition
EDIT #2: I just read the wikipedia page on the DeLorean DMC-12. Apparently they made fiberglass paneled DMC-12's for "training" purposes but were never marketed. Regardless, the frame will still rust.
Several hundred DMCs were produced without stainless panels, for training workers, and are referred to as "black cars" or "mules", in reference to their black fiberglass panels instead of stainless, though these were never marketed.