[BobK]

These are all above the neck. I'll think of some more for the rest of the body, but this is a down-payment!

come to a head - become clearer/more intense:
"At the meeting of the whole team, everything came to a head"

stick your head over the parapet - do something deliberately provocative:
"Nothing's going to happen unless you stick your head over the parapet"

have the ear of someone - have preferential access to someone as an advisor:
"The Cabinet Secretary has the ear of the Prime Minister"

turn a deaf ear to - not to listen to:
"After the divorce, she turned a deaf ear to his demands to see the children"

turn a blind eye to - not to respond to something that's obvious:
"It's strictly illegal, but the Police turn a blind eye to it"

turn the other cheek - invite further attacks (even when not to the face, and
not necessarily physical):
"I know they've said some nasty things, but I think you should turn the
other cheek"

stick in your craw (the craw is part of the throat) - be unpalatable (not necesssarily food):
"Saying I'm sorry, after all he's done, would stick in my craw"

have a bad/dirty mouth [on] (very informal) - use foul language:
"He's got a dirty mouth" (the 'on him'/'on her) makes it even less formal, (and it changes the meaning - to be very talkative/assertive/'mouthy' - when there's no adjective:
"Have you heard him talk? He's certainly got a mouth on him" [Best avoided, but you might hear it]

take it on the chin - accept an attack as inevitable:
"You'll get caught either way, so you should take it on the chin"

armed to the teeth - heavily armed:
"The pirates were armed to the teeth"

fed to the back teeth - having had too much of something (not necessarily
food):
"He's always late - I'm fed to the back teeth with his excuses."

b