Does anyone still sail from US to Europe? I'm not interested in a cruise per se, but more in ship transportation. Any lines still cater to that?

Most of the major cruisliens still do Trans Atlantic cruises--usually to Europe in the spring and to the US in the fall.

Are you asking if there is regularly schedule service by ship between US and Europe? I don't think so.

The Queen Mary 2 has a number of 6 day Transatlantic Crossing from Spring to Fall. Check it out:

http://book.cunard.com/find/pb/searc...hip=&date=

We did the QE2 quite a few years ago... 5 days.
Two years ago we sailed from NYC to Southampton on the QM2... 6 days. Both very pleasant experiences. (Check out Cunard.as listed below.) Lots of other lines do positioning cruises if I understand correctly. You won't want to "do" the North Atlantic in the winter -

And most luxury lines, such as Regent, have their most attractive fares on these transatlantic cruises because they involve primarily sea days.