Coulrophobia

Coulrophobia is the irrational fear of clowns. Luke Smith noted this psychological disorder by its proper name when a clown began appearing to the students at his school. Sarah Jane Smith was a known sufferer from an early age. She had been introduced to the phobia by a toy clown that used to hang near her bed. Smith claimed that its unnatural gaze used to terrify her at night. As an adult, Smith discovered that the toy had, in fact, been manipulated by the Pied Piper to instill this fear in her.

Luke alleged that Johnny Depp also suffered from the phobia, according to Heat magizine. (SJA: The Day of the Clown)

Ace was scared of clowns, as she found out on Segonax. However it is unclear whether she had coulrophobia, or merely an aversion to them. (DW: The Greatest Show in the Galaxy)

Toshiko Sato was also had coulrophobia. She channelled this fear to create a monster clown to fight against the creations of Gareth Portland. (TWN: Pack Animals)

Behind the scenes
David Tennant has admitted to suffering from the phobia, citing a sequence in The Deadly Assassin as a moment when he was "proper scared" by Doctor Who as a young viewer.