Collocations for neck - noun

long, short
slender, slim, swan-like (literary)
scraggy (BrE), scrawny, thin
strong, thick
sore, stiff
broken

crane, strain
I craned my neck to see what was happening at the front.

break, injure
rub
wring
He killed the chicken quickly by wringing its neck.
When he was late again I wanted to wring his neck.

risk (figurative)
I'm not going to risk my neck playing rugby with you!

save (figurative)
He's out to save his own political neck (= his political career).

muscle
brace, collar, support
She's been wearing a neck brace since her car crash.

injury
ache, pain

around your neck, round your neck (esp. BrE)
I keep the key on a string around my neck.

in the neck
The veins in his neck stood out like knotted rope.

the back of the neck, the nape of the neck
The hairs on the back of my neck prickled with fear.

a crick in your neck
I had a crick in my neck from staring up at the sky so long.

the scruff of the neck
The cat picked up her kitten by the scruff of its neck.

high, low
open
He wore a casual shirt with an open neck.

boat (AmE), cowl, crew, halter, round, scoop, V (usually V-neck)
He was wearing a black V-neck sweater.

polo (BrE), roll (usually roll-neck), turtle (usually turtleneck)