All blade materials, stainless steels, carbon steels, non-steels can, of course, be compared. There are dozens of materials in each class, however, and there is more to a good blade than good steel: There's geometry, edge profile, heat treatment and a host more..... In the end there aren't simple answers, only a set of compromises for a given purpose.
This site (thanks Bikerdoc) has a wealth of information along the lines of what you're looking for, I think.
http://www.cutleryscience.com/reviews/blade_materials.html
Notice how many steels (or non-steels) in each class there are, and these are but the most popular!
Once, it was possible to say that carbon steel blades were superior to stainless ones in all ways but corrosion resistance. Newer stainless alloys have removed alot of the truth from that statement. There are now absolutely excellent stainless steel options out there if that's your taste. Carbon steel has largely been relegated to knife affictionados and a few with a taste for nostalgia, the general public would rather have a rust proof knife it seems.
That's not to say that non-stainless steels are undesireable.... I mostly carry knives in 1095 or 5160, both non-stainless steels.... They do have a beautiful ability to hold an edge, and sharpen easily.... Rust isn't an issue unless I forget them at the bottom of the sink......
I also carry a D2 folder. D2 is a nearly stainless tool steel. It holds an edge almost as fine as 1095, but keeps it longer (3x maybe?). It is much more corrosion resistant. It is rather slower to sharpen (2x maybe?)...
J