Hypnosis

Hypnosis or mind control was the ability to place others into a state in which that they would obey the commands of the hypnotist or believe what the hypnotist told them. Some forms of hypnosis were stronger than others. Memory erasure or alteration also could be accomplished hypnotically.

The Doctor and hypnosis
The Doctor occasionally practised hypnosis. He sometimes did this through eye-fixation. On Necros he tried to perform this form of hypnosis on a mutated victim of Davros' experiments. It failed and he was forced to fight the creature off. (DW: Revelation of the Daleks)

On other occasions, the Doctor seemed to possess the Master's skill of just talking someone into a state of sleep. On Pluto, he once hypnotised one of the Company's guards in this way —and accidentally hypnotised a watching Leela, as well. (DW: The Sun Makers)

The Doctor could make people quiet by simply saying "ssh!". He used this on Alfie Owens and his father also telling him that it only works once and on life forms with underdeveloped brains. (DW: Closing Time)

The Master and hypnosis
As a means to his ends, the Master frequently used hypnosis to have people perform tasks on his behalf. He most commonly did this through suggestion, uttering the phrase "I am the Master and you will obey me". (DW: Terror of the Autons)

While working under the alias of Professor Thascalos at the Newton Institute, the Master hypnotised its director, Charles Percival. He later commented that it had been a long time since he came across a hypnotic subject as good as Percival. (DW: The Time Monster)

He hypnotised the Earth on a large scale through use of the Archangel Network, subtly changing people's perception of him. (DW: The Sound of Drums)

Other instances of hypnosis
Professor Brett was hypnotised by WOTAN, his own creation, into aiding the robot bid to take over Earth. Other factory workers were also hypnotised into producing the War Machines. (DW: The War Machines)

On Marinus, the Morpho hypnotised the humanoids there into taking them as their rulers. (DW: The Keys of Marinus)

The workers of a gas mining colony were hypnotised by the Macra into gathering them the resources they required. (DW: The Macra Terror)

The Weed Creature controlled both Mr. Oak and Mr. Quill through hypnosis. They also received the ability to exhale toxic gas. Both of them were freed by the death of the Weed Creature. (DW: Fury from the Deep)

The Eight Legs performed hypnosis on a host by attaching themselves to the back. From this position, they could govern the host. (DW: Planet of the Spiders)

Alzarian spiders could hypnotise through a venomous bite. One did so to Romana who subsequently aided the Marshmen in their attack on the Alzarian starliner. (DW: Full Circle)

Magnus Greel granted Li H'sen Chang the power of hypnosis, among others, in return for his services. (DW: The Talons of Weng-Chiang)

The King Vampire was able to hypnotise the Three Who Rule into a thousand years of service and gave them the power of hypnosis. They used this on Romana, placing her in near-death trance. (DW: State of Decay)

An passengers of the aeroplane Golf Victor Foxtrot were hypnotised by the Xeraphin after travelling through a time corridor to the Jurassic era. (DW: Time-Flight)

George Hutchinson was hypnotised by the Malus into helping create conflict in the area. The Malus fed on the psychic energy created through this. (DW: The Awakening)

Jack Harkness used hypnotic induction to focus Toshiko Sato, Gwen Cooper, Ianto Jones and Owen Harper on their true memories before using Retcon to rid them of the memory of Adam Smith. (TW: Adam)

The Pied Piper hypnotised several children in order to abduct them, but was foiled by Mr. Smith phoning them all on their mobiles, disrupting the Piper's abilities. (SJA: The Day of the Clown)

The Ancient Lights took control of people all over the world through Martin Trueman's invocation of their star signs before Luke Smith stopped them. (SJA: Secrets of the Stars)

Miss Myers hypnotised a worker in a nuclear power plant to serve her, and put the rest to sleep. (SJA: Sky)

With technology
After the 22nd century Dalek invasion, several humans were fitted with special helmets and were dubbed Robomen. They served the Daleks in controlling the population. Some were crazed by their condition and died. (DW: The Dalek Invasion of Earth)

The Sontarans made use of hypnosis. Jingo Linx had several humans work for him under hypnotic influence, as did the Sontarans of the Tenth Sontaran Battle Fleet when they controlled ATMOS. The Sontarans also hypnotised UNIT privates Carl Harris and Steve Gray. (DW: The Time Warrior, The Sontaran Stratagem, The Poison Sky)

A Tythonian could use its communicator to hypnotise individuals. Torvin and Edu were hypnotised into returning Erato's communicator to him. (DW: The Creature from the Pit)

Sycorax who attempted to take humans as slaves used blood control to hypnotise all those with A+ blood. The Sycorax threatened to have them commit suicide if their demands were not met, but the Tenth Doctor pointed out that survival instincts would stop them from doing so. He released them by disabling the control. (DW: The Christmas Invasion)

On Pete's World, Cybus Industries used EarPods to control the population and have them report for Cyber-conversion. (DW: The Age of Steel)

The Berserker Pendant allowed its users to control others. (SJA: The Mark of the Berserker)

Known Hypnotists

 * The Master (DW: Terror of the Autons, the Mind of Evil, The Claws of Axos, The Dæmons, The Sea Devils, The Time Monster, The Mark of the Rani, The Sound of Drums, Last of the Time Lords)
 * The Doctor (DW: The War Machines, Terror of the Zygons, The Talons of Weng-Chiang, Revelation of the Daleks, Battlefield)
 * The Rani, with a creature she created (DW: The Mark of the Rani)
 * Borusa, with the Coronet of Rassilon (DW: The Five Doctors)
 * Morpho (DW: The Keys of Marinus)
 * Sensorites (DW: The Sensorites)
 * Animus (DW: The Web Planet)
 * The Celestial Toymaker (DW: The Celestial Toymaker)
 * Elders (DW: The Savages)
 * Weed Creature (DW: Fury from the Deep)
 * Master Brain (DW: The Mind Robber)
 * Eight Legs (DW: Planet of the Spiders)
 * Sutekh (DW: Pyramids of Mars)
 * Mandragora Helix (DW: The Masque of Mandragora)
 * Eldrad (DW: The Hand of Fear)
 * Xoanon (DW: The Face of Evil)
 * Alzarian spider, through venom (DW: Full Circle)
 * The Swarm (DW: The Invisible Enemy)
 * Fendahl (DW: Image of the Fendahl)
 * The Shadow (DW: The Armageddon Factor)
 * Great Vampire and the Three Who Rule (DW: State of Decay)
 * Xeraphin (DW: Time-Flight)
 * Eternals (DW: Enlightenment)
 * Malus (DW: The Awakening)
 * Mestor (DW: The Twin Dilemma)
 * Gods of Ragnarok (DW: The Greatest Show in the Galaxy)
 * Morgaine (DW: Battlefield)
 * Fenric (DW: The Curse of Fenric)
 * WOTAN (DW: The War Machines)
 * Zor (Doctor Who and the Pescatons)
 * Macra (DW: The Macra Terror)
 * Chameleons, using technology (DW: The Faceless Ones)
 * War Lords, using technology (DW: The War Games)
 * Nestene
 * BOSS (DW: The Green Death)
 * Skagra (DW: Shada)
 * Terileptils, using technology (DW: The Visitation)
 * Tythonians, using technology (DW: The Creature from the Pit)
 * Sontarans, using technology (DW: The Time Warrior, The Sontaran Stratagem, The Poison Sky)
 * Li H'sen Chang (DW: The Talons of Weng-Chiang)
 * Omega (DW: Arc of Infinity)
 * Sycorax, using technology (DW: The Christmas Invasion)
 * The Mentor (DWM: Death to the Doctor!)
 * Martin Trueman (SJA: Secrets of the Stars)