Oh, my giddy aunt
"Oh, my giddy aunt" was a colloquialism that was often used as an exclamation of surprise.
By the Doctor
The Second Doctor used the phrase often. He said it to Dastari during an argument in the cellar (TV: The Two Doctors) and said it when surprised by a Kroton. (TV: The Krotons) He also said it to Sgt Benton as a Gell guard tried to enter the TARDIS. (TV: The Three Doctors)
A clone of the Second Doctor said it as Lucius threatened to devour him. (AUDIO: Survivors in Space)
The Eleventh Doctor said it while facing a Diceman with Henry Gordon Jago. (AUDIO: The Jago & Litefoot Revival)
By others
In the 1890s, Henry Gordon Jago said it when he saw one of the Wet Men. (AUDIO: Dead Men's Tales)
The Brigadier said this when he found out that Professor Rubeish was missing. (TV: The Time Warrior)
Mrs. Wibbsey exclaimed it to Buddy Hudson and a cultist when realising something was wrong with the Fourth Doctor. (AUDIO: Starfall)
Missy said it to Osgood while they were on a plane. (TV: Death in Heaven)