Pinocchio was a fictional character that wanted to "fit in". Susan Foreman compared herself to him, citing her want to be a "real live girl" as the reason behind her choice to attend Coal Hill School while visiting Earth 1963. (PROSE: Time and Relative)
When trapped aboard a submarine with a murderous Ice Warrior, Clara Oswald sarcastically remarked that keeping her spirits up by singing as Professor Grisenko suggested would only help "if this was Pinocchio". (TV: Cold War)