Cyber-helmet

Cyber-helmet was a term used, by the Sixth Doctor at least, to refer to the headpiece of a Cyberman's cyber-suit. (PROSE: Doctor Who and the Cybermen, AUDIO: The Carrionite Curse) Bates referred to it as a Cyber-head. (TV: Attack of the Cybermen)

Variants
Cybermen were typically recognised by the distinctive side handles located atop their helmets. (TV: The Tenth Planet, The Age of Steel, The Time of the Doctor) In the case of the Mondasian Cybermen, the handles were a attachable headset which functioned as an emotional inhibitor, which was lacked by the first Mondasian patients. (TV: World Enough and Time) Conversely, the emotional inhibitors of the Cybermen from Pete's World were located within their chests. (TV: The Age of Steel)

The Mondasians' side handles were linked by a central energy weapon which was capable of killing humanoids, burning through steel, and damaging more advanced Cybermen. (TV: The Doctor Falls)

Cyber-Controllers, such as the one who resided on Telos, were distinguished from their subordinates in that their helmets sported an enlarged cranium which forgone the handles. (TV: The Tomb of the Cybermen, Attack of the Cybermen) Conversely, John Lumic, the Cyber-Controller of Pete's World, had a Cyber-helmet with handles. He was distinguished by his brain which was visible behind the forehead's casing, and a set of four blue lights in each eye. (TV: The Age of Steel)

A Cyber-Controller which used Borg technology sported an modified Cyber-helmet with a visible brain; its right side handle was replaced with a tube connected its faceplate's right eye, which was augmented with a Borg implant. (COMIC: Assimilation²)

In both N-Space and Pete's World, Cyber-Leaders were typically distinguished by their black handle bars. (TV: Earthshock, Army of Ghosts) The leader of the CyberNomads had a black helmet with only a silver faceplate. (TV: Revenge of the Cybermen) Certain Cyber-Leaders, also designated Cyber-Lords, had black facial plating with visible brains. (TV: The Next Doctor, A Good Man Goes to War, GAME: Blood of the Cybermen)

The CyberNomads who attacked the Nerva Beacon had energy weapons built into their helmets. They were activated with the touch of a hand. (TV: Revenge of the Cybermen)

Lesser Cyberslaves appeared as metallic humanoids with Cyber-helmets. (GAME: Blood of the Cybermen)

In the case of the Cybermen from Pete's World, the brain their helmets contained was the sole organic component that remained in a Cyberman. (TV: Rise of the Cybermen/The Age of Steel)

Cyberdogs were supported by canine Cyber-heads. (COMIC: Enemy Mine)

Cybershades had bronze Cyber-heads. Like their Cyberman superiors, they had piping like handlebars connected to their heads, except they angled diagonally like the ears of an animal. (TV: The Next Doctor)

Cyber-converted Raxacoricofallpatorians sported bulbous Cyber-helmets which matched the Raxacoricofallapatorians heads. Similarily, converted Judoon had rhinoceros-like Judoon horns atop their helmets. Converted Klingons were distinguished by helmets which matched the unique shape of the Klingon head, with extensions reminiscent of hair. (COMIC: Assimilation²)

Uniquely, Cybermen whom participated in an alternate Last Great Time War had helmets whose side handles pointed down rather than upwards. (COMIC: Prologue: The War Doctor)

Individual cases
A fake Cyber-suit, constructed and used by the Second Doctor to infiltrate the Mondasian Cybermen, included a removal Cyber-head. (COMIC: Masquerade)

Partially converted on Telos, Gustave Lytton's head was supported by an incomplete Cyber-helmet without facial plating. Before his conversion could be completed, Lytton was killed defending the Sixth Doctor from the Cyber-Controller. (TV: Attack of the Cybermen)

The Sixth Docto kept a Cyber-helmet in his C chest. (AUDIO: The Carrionite Curse)

The Ninth Doctor, accompanied by Rose Tyler, found that a Cyber-helmet was among the exhibits on display within Henry van Statten's vault in 2012. (TV: Dalek) Years later, Adam Mitchell used the Cyber-helmet to send out a sub-ether signal in order to lure out a Time Agent. (COMIC: Mystery Date)

Partially converted during the Battle of Canary Wharf, Lisa Hallett's head was supported by an incomplete Cyber-helmet without facial plating. Following a failed conversion which resulted in his death, parts of a Cyber-helmet's face were seen embedded into that of Dr Tanizaki. (TV: Cyberwoman)

Despite being detached from its body, the helmet of a damaged and automated Cyberman suit made a failed attempt to replace its expired organic components by assimilating Amy Pond. To that end, the faceplate split in two, emptying the helmet of a humanoid skull. As it attempted to assimilate Amy, the helmet repeatedly opened and closed before it eventually fired a dart at Amy's neck, which rendered her unconscious. Ultimately, however, the Cyber-suit was neutralised by Rory Williams. (TV: The Pandorica Opens)

After it had been stripped of its organic components, a Cyber-helmet named Handles, which sported some damage to its faceplate. was claimed by the Eleventh Doctor at the Maldovar Market. Having a cybernetic mind of his own, Handles would serve as a companion just prior to and during the early centuries of the Siege of Trenzalore. (TV: The Time of the Doctor)

In the 2010s, Kate Stewart presented a severed Cyber-helmet from one of their prior Earth invasions to a group of Cybermen created by. (TV: Death in Heaven)