For a broad answer:
Glass, many plastics, certain grades of stainless. Yes
Aluminum, brass, copper, lead, nickle, tin, magnesium, zinc, cadmium. No
For a better answer than I could give, you could start with Kodak's book, "Construction Materials for Photographic Processing Equipment" Kodak Publication No, K-12 CAT 101 8423 printed 1973. In it are discussed hundreds of metals, plastics, glasses, woods, their properties, and their suitability for contact with various photographic solutions and the engineering and testing for such uses.
For intermittent home use you can get away with most generally acceptable materials with no problems. For 24/7 continuous heavy usage, every material must be checked for compatibility with the basic chemistry, solvent resistance, corrosion, usable temperatures, photographic activity, leaching, pitting, mechanical properties, fabrication, cost, etc, i.e. engineered. The Kodak book is a good start.