Asexuality in fiction
Once (2006) Directed by John Carey, Best song (Oscar) 2006
Withnail and I (1987) Directed by Bruce Robinson
Dexter - The title character, a serial killer, feels emotionally divorced from the rest of humanity and has no interest in romance or sex. 
Dr. Who - The Doctor's sexuality is ambiguous; his relationship with Rose Tyler has been described as "a love story without the shagging". 
Ouran High School Host Club - Haruhi Fujioka, the main character, has no interest in romance and prefers platonic relationships despite being surrounded by attractive males and females.