I don't post in the Busse forum very often, though I tend to follow Will around some. How's things Will? Haven't seen you in a while.
To the original question - those lists are quite a bit more complicated than one might think, as was explained above. Rather than make a list of specific steels, allow me to give some general trends.
Stainless steels don't have issues rusting under normal conditions. (I know, thank you Captain Obvious). That said, the trend is more chromium and less carbon will be more corrosion resistant. You can look at the ratio of chromium:carbon. The higher it is, generally speaking, the less subject to corrosion that steel is. Very corrosion resistant steels are things like 420, 420HC, 12C27M, 12C27, 440A, H1, and some others.
Non-stainless steels cannot be counted on to resist corrosion to any great degree. Everything from 1095 to M4 can rust within a day if conditions are right. The same can be said for the stainless steels, but those conditions are nothing you'd want your hand in to use the knife anyway.
To clarify a few points, the Iron-Carbon phase diagram doesn't really have anything to do with corrosion resistance. It's really just a starting point and any alloying elements added change it. The one to see for stainless steels is the Iron-Chromium diagram, which then will be changed by adding carbon and other elements, just like the Iron-Carbon diagram.
Nickel is a major alloying element in austenitic stainless steels, which are for the most part non-magnetic, though that changes with treatment and specific grade. Martensitic and ferritic stainless are both magnetic, though only martensitic is common for knife blades. Carbon is kept very low in the austenitic and ferritic steels, just as Will described. The carbon will bond with chromium and corrosion resistance is lost. Martensitic stainless by definition needs carbon, but not too much.
The 10.5% to 13% chromium range in stainless comes from a graph that was produced when researching stainless in it's early years. If one graphs corrosion resistance on the vertical and chromium content on the horizontal axis, one finds that corrosion resistance increases with chromium content (again, duh). However, around 10.5% the corrosion resistance hits a plateau and doesn't start improving again until (wait for it) around 13%. This is why it's not just a fixed value, but a range you will find if you start researching it at Google University.
Lastly, a point I've seen with H1. It does not form the orange/red/black rust we see that will pit and ruin a blade. It does oxidize even in a weak salt water solution (like a salt water pool). It turns a nice shade of blue and yellow around the laser etching that will almost wipe off with just a paper towel. Also, fresh coarsely sharpened areas will darken ever so slightly. I back bevel my Salt 1 with a 220 grit stone and apply a polished microbevel with the Sharpmaker.