Answer: Limiting the response to just American coins, there is the 1925 California Diamond Jubilee commemorative half dollar that shows a miner panning for gold, which could count. Also, the Wisconsin commemorative half dollar shows a heap of lead ore on the reverse.
In the field of tokens and medals there are other possibilities, including the 1901 Lesher “dollars” that show the “Pikes Peak Silver Mine,” a mythical enterprise, with tailings and residue, presumably including minerals.