Data, possessed by an Ux-Mal criminal, holds Jean-Luc Picard up by his neck
The neck is part of the body found in most humanoids, used for supporting the head.
Those who had their neck injured wore a neck brace. (DS9: "Dramatis Personae")
The Vulcan nerve pinch was sometimes called the "Vulcan neck pinch" by Humans. (VOY: "Cathexis")
In 2254, Captain Christopher Pike told the Talosian keeper to stop with all the illusions and let him and his crew leave Talos IV or he would break its neck. (TOS: "The Cage")
In 2267, Khan Noonien Singh incapacitated Lieutenant Kyle in the USS Enterprise's transporter room by applying much force to his neck with his hands. (TOS: "Space Seed")
In 2368, a Ux-Mal criminal possessing Data's body held up Captain Jean-Luc Picard by his neck and threatened to kill him unless a plasma shock in Ten Forward was deactivated. (TNG: "Power Play")
Later that year, Lieutenant Worf's neck and spinal cord were severely damaged due to a heavy cargo container falling on him. He temporarily lost the ability to walk, but was able to regain all of his mobility due to a medical breakthrough by Dr. Toby Russell. (TNG: "Ethics")
At Starfleet Academy, after Cadet Nicholas Locarno asked Wesley Crusher to resign, Crusher replied in response, "You would let me throw my career away to save your neck?" (TNG: "The First Duty")
In 2369, Zayra, the leader of a Bajoran mob accusing Odo of murdering Ibudan, yelled out to them, "How do you get a rope around the neck of a shapeshifter?" (DS9: "A Man Alone")
Later that year, Captain Jean-Luc Picard took out Devor with what appeared to be a Vulcan neck pinch. (TNG: "Starship Mine")
Odo had used a technique called the Cardassian neck trick while he was on Terok Nor. His mysterious Cardassian informant asked him in 2371 if he still was able to do it. (DS9: "Necessary Evil", "Improbable Cause")
In 2375, Worf killed the seventh clone of Weyoun on Cardassia by violently twisting his neck. (DS9: "Strange Bedfellows")