Step 1: What the oxidized zone holds.
The top, highly oxidized part of a weathered metal vein fills with new secondary minerals. These are mostly carbonates, sulfates and oxides formed in air and water.
Step 2: Read the right group.
Smithsonite is a zinc carbonate, malachite is a copper carbonate, and anglesite is a lead sulfate. All three are classic oxidation products of base metal ores.
Step 3: Check the chemistry fit.
This trio covers zinc, copper and lead in their oxidized forms, exactly what we expect near the surface of such a vein.
Step 4: Reject the others.
The other sets mix in pyrite, realgar, chalcocite or orpiment, which belong to fresh or less oxidized ore, not the highly oxidized cap.
Step 5: Final choice.
So the diagnostic group is smithsonite, malachite and anglesite.
\[ \boxed{\text{Smithsonite, Malachite, Anglesite}} \]