balmoral, a Tam 'o Shanter or Tammy  

baseball cap  

beanie or skully  

beret  

Borsalino  

boucle cap  

bucket hat also classy lady hat or sailor hat  

capuchon  

chupalla  

cloche hat  

cricket cap  

peaked cap, also combination cap  

cowboy hat  

fedora  

Fitted cap, popularized by rap artists  

floppy fedora  

flat cap, also bunnet, cloth cap, driver cap, golf cap, or windsor cap  

flip hat, baseball style cap with the brim intentionally flipped upwards (associated with punk rock)  

garrison cap  

Ivy cap or scally cap, the typical Irish hat  

kepi  

kufi, traditional cap worn by Muslim males  

nasaq, the crocheted headgear of some Canadian Inuit  

nightcap  

Newsboy cap, also "Gatsby cap"  

salakot  

skullcap  

student cap  

Suma cap  

tam, most commonly associated with the Rastafari movement  

taqiya, also tagiyah--resembles the yarmulke  

tuque, also knit hat, knit cap, sock cap, stocking cap, watch cap, toboggan, ski cap or skull cap  

turban  

Plastic Rain Hat  

yarmulke, also kippa, kippah or skullcap, Jewish traditional  

zucchetto  

Akubra  

Anthony Eden hat  

beaver  

Beefeaters' hat  

bicorne  

boater, also basher, skimmer  

bowler, also coke hat, billycock, boxer, bun hat, derby  

cabbage-tree hat a hat woven from leaves of the cabbage tree  

capotain (and women) - a tall conical hat, 17th century, usually black - also, copotain, copatain  

caroline - 17th Century  

carriage hat - 1780s-1820s  

caubeen - Irish hat  

cavalier hat, also chevaliers, wide brimmed hat trimmed with ostrich plumes  

chapeau-bras, also chapeau de bras - 18th to early-19th-century folding bicorne hat carried under one arm  

Chaperon adaptable late Middle Ages "dead-chicken" hat  

chimney-pot hat, also lum-hat, Victorian, also worn by clerics in the Greek Orthodox Church  

cocked hat  

deerstalker, hunting cap with fold-down ears, associated with Sherlock Holmes, Elmer Fudd, and Holden Caulfield.  

fedora  

fez  

homburg  

karakul  

kolpik  

Panama hat  

pork pie  

shtreimel  

spodik  

sombrero  

top hat, also stovepipe hat  

tricorne  

trilby  

ushanka  

war bonnet  

bandeau hat  

beehive  

bergère hat  

bloomer  

bongrace - a wide brimmed hat, 17th/18th century  

Breton  

capeline - 18th/19th century  

capotain (and men) - a tall conical hat, 17th century, usually black - also, copotain, copatain  

cart-wheel hat - low crown, wide stiff brim  

Gainsborough hat -a very large hat often elaboratly decorated with plumes, flowers, and trinkets.  

Nón lá, Vietnam.  

Nón quai thao, Vietnam.  

balibuntal - straw hat from the Philippines  

castor or caster - beaver or rabbit  

chip hat  

cloche  

cockle hat  

cony or coney  

coolie hat  

copintank, also copentank, coptank, copitaine  

cordies  

Cossack hat  

crinoline , also gibus-hat  

demicastor hat  

Directoire  

Dolly Varden  

fan-tail hat  

flat  

Gainsborough  

Garbo hat  

Garibaldi hat  

gipsy hat  

gossamer hat  

grebe hat  

halo-brim hat  

the Hat Terrai Gurkha, worn only by Gurkha Contingent officers in Singapore  

Homburg; a black Homburg was also known as an "Anthony Eden" (after the politician Anthony Eden)  

hunting hat  

jerry  

kausia  

Kevenhuller  

kiss-me-quick hat  

Leghorn hat  

mandarin hat  

Manilla hat  

marquis hat  

matinée hat  

Merry Widow hat  

Moab  

montera  

mourning hat  

mousquetaire  

muff-box  

Müller hat  

mushroom  

petasos  

pill box hat  

sugar loaf  

veiled hat, also bird cage hat  

aviator's cap  

barretina  

capeline - a steel skullcap worn by archers in the Middle Ages  

cap'n'bells ("Jester cap" or "jester hat")  

Pileus (hat)  

Phrygian cap  

smoking cap  

mob-cap  

pinner  

Cap of Maintenance  

Cabriolet  

Capote - soft crown, rigid brim, 19th century  

Chip bonnet  

Gypsy bonnet - shallow to flat crown, saucer shaped, and worn by tying it on with either a scarf or sash, under the chin, or at the nape of the neck - 19th Century  

Kiss-me-quick  

Leghorn bonnet  

Mourning bonnet  

Poke bonnet - Early 19th Century, "Christmas Carol" style, with a cylindrical crown and broad funnel brim  

Ugly - a kind of retractable visor that could be attached to bonnets for extra protection from the sun, 19th century  

glengarry bonnet  

tam o'shanter  

Frob head spectacular  

Glassy Oh So Fine  

Jobby head  

Balmoral Bonnet, as worn by the Black Watch.