There’s a long list of drugs that can cause psoriasis, but the ones you’re most likely to run across are:
Pain or fever reducers with aspirin
Nonsteroidal anti-inflammatory drugs (ibuprofen, naproxen)
Some anti-depressants like lithium or trazodone
Penicillin
Calcipotriol (a psoriasis drug)
Coal tar (also used to treat psoriasis)
Zinc pyrithione (the active ingredient in dandruff shampoo)