Synonyms for Pillbox:

n.

balaclava, boater, baseball cap, bandanna, bathing cap, biretta, bearskin, beanie. carton, Bottled, bubble wrap, blister pack, case, matchbox, matchbook, cover, boxed. fallout shelter, Humpy, bunker, blockhouse, guardhouse, Nissen Hut, lean-to, hut, bomb shelter. artifact (noun)
turban, toque.
cap (noun)
beret, bonnet, beanie, fez.
clothing (noun)
habit, bowler, kilt, jumper, tunic, beret, cape, crinoline, bathrobe, jersey, evening gown, afghan, clothes, blouse, clothing, panties, stockings, chemise, garment, t-shirt, halter, overcoat, pinafore, fur, slacks, footgear, headdress, poncho, housecoat, nightgown, stetson, burnoose, homburg, blazer, topcoat, sports coat, parka, pajamas, corset, mackintosh, gown, fedora, petticoat, camisole, sweater, frock, attire, turtle-neck, outfit, coat, tuxedo, dinner jacket, pea coat, greatcoat, wrap, shirt, pants, slicker, pyjamas, ulster, scarf, pull over, trimming, skirt, dressing gown, v neck, vesture, blue jeans, raiment, ensemble, suit, sarong, array, vestment, windbreaker, sweat shirt, dress, raincoat, kimono, boot, sari, smock, trench coat, shorts, doublet, hat, cloak, garb, shoes, smoking jacket, brassiere, robe, wrapper, sweat suit, shawl, jacket, trousers, fez, apparel, costume, duds, chapeau, bonnet, caftan.
pillbox (noun)
turban, toque.

Other synonyms:

blockhouse, Humpy, fallout shelter, bomb shelter, guardhouse, Nissen Hut, lean-to, hut. bunker. Other relevant words:
Humpy, toque, hut, case, lean-to, turban, blockhouse, bunker, guardhouse, carton.