He faced a charge of burglary and intentional damage _ which carry a maximum penalty of 10 years and seven years respectively.
The air force C17 Globemaster was plastered with tagging while parked overnight at Whenuapai Air Base in September 2008.
The multi-million dollar aircraft had to be removed from service while extensive repairs were carried out.
The plane had been extensively tagged, with the most offensive item being the swastika.
The Royal New Zealand Airforce apologised to the Australians for it.
Detective Sergeant Steven Salton said DNA samples from the tagging and a burglary in 2008 remained on the police databank.
The chief of Air Staff, Air Vice-Marshall Peter Stockwell, said he was grateful an arrest had been made.
Outside court today Bullen would not comment on the crime or his alleged involvement.
Judge Brooke Gibson further remanded him on bail until a post committal hearing.