In 1995 he graduated from Guildhall School of Music & Drama, London. He is mainly a theater actor. But have had small roles in comic tv shows.
In 1985 he started the band Onkel Dum og Bananerne with his friends Thomas Høg, Jens Korse and Lasse Aagaard. The group became quite popular and it all ended up in one of the most criticized movies in Denmark, Bananen - Skræl den før din nabo (Bannana Busters), the group dissolved shortly after the move had premiered. In 1990 Sune Svanekier wrote a musical with Peter Spies and Thomas Høg called Atlantis, it premired in 1993 on Bellevue Teatret near Copenhagen. When it was performed at Østre Gasværk Teater, Copenhagen, Jan Tellefsen (dubbing director on Bjørnen i det Blå Hus and the voice of Kermit in Muppets Fra Rummet) had a minor role in it.
Sune also teaches Drama around Denmark and are also directing amateur theater shows he have written himself.