I've been buying canned soups by Health Valley.  They cost about 3 times as
much as a can of Campbell's and are never on sale, but most, if not all,
have no dairy.  They're also a lot lower in calories, sodium, fat and other
icky things.  They're pretty good, actually.  They are not, however, pareve
or even kosher.

I'm not sure if this is a national brand, but it is available in
Genuardi's, Shop Rite and health food stores in the Philadelphia area.

I was buying kosher/pareve canned soups from Rokeach, but the sodium
content was really high.  I just don't like the taste of salty stuff.