First of all, as others noted, steel is cast very often. Cast iron and cast steel both have many industrial applications currently. Also, ferrous metallurgy is extremely complicated.
The primary difference between cast steel and cast iron is the carbon content: typically carbon weight % is < 2% in steels, typically > 2% in cast irons.
The carbon in alloy steels or carbon steels is typically in the form of certain phases such as cementite at grain boundaries, dissolved in ferrite, stacked as lamellar pearlite (alternating layers of ferrite & pearlite), as spheroidal cementite for spheroidized steels, locked up in diffusionless transformation as martensite and/or bainite allotrope in quench hardened steels, or in a combination of martensite and various carbides in tool steels. In cast steels, the silicon content is typically relatively high, i.e. > 1%, compared to wrought counterparts in order to promote fluidity during the cast pour. Die casting, centrifugal casting, continuous casting (often in rolling mills), or other pressure-added cast techniques are common among steels compared to cast irons.
In cast irons, the some or all of the carbon typically exists in either graphite phase or iron carbide phase depending on alloy composition, cooling rate, and inoculation procecure. There are lots of different cast irons: gray cast iron (carbon in graphite flakes and pearlite), pearlitic ductile cast iron (carbon in graphite spheroids and pearlite), austenitic ductile iron (carbon in sort of spheroids in matrix of non-magnetic austenite), white iron (carbon in iron carbides), and malleable cast iron (rough spheriods of graphite) are among the most common.
Stainless steel may or may not be magnetic depending on the alloy. Austenitic stainless steels alloys (nickel % is ≥ 8%) have little or no magnetism. Martensitic and ferritic stainless alloys are always magnetic to varying extents depending on composition. Austenite is a face-centered cubic (FCC) crystallographic structure, while other forms of iron are magnetic body centered cubic (BCC) or, in the case of some heat treated components, magnetic body centered tetragonal (BCT). The only characteristic that all stainless steels share is the relatively high chromium content which boosts corrosion resistance in some environments.
There are iron-neodymium-boron alloys that are the gold standard of magnetism to density ratio, so that’s why consumer electronics and some higher end audio speakers use iron-neodymium-boron magnetic material components.
Crankshafts can be either forged alloy steel, ductile cast iron, or cast steel in my experience. I do not know which is more common among current manufacturers.