The other two are Morris Percy Poata - wanted on driving charges, including drink-driving - and Alan Edward Witere Boyd, who is wanted for failing to comply with court release conditions.
An arrest warrant is issued by a judge when someone accused of a crime fails to appear in court or breaches their bail conditions. It may also be issued for someone who is suspected of a crime but is still at large.
Western Bay of Plenty Area Commander Inspector Clifford Paxton said police targeted high-risk offenders.
"We identify people of high risk and task our members to finding them.
"We've got systems and processes within the Western Bay of Plenty to highlight those people to us," he said.
Mr Paxton said police did not want to chase offenders who had failed to attend court.
"But, if they fail to appear and a warrant for arrest is issued then it is a focus for police to find them and bring them back to the court.
"The main reason for that ... is to satisfy and reassure the victims of their crime that these matters are being taken seriously, and to prevent further offending."
Ministry of Justice district courts general manager Tony Fisher said at least 40,000 arrest warrants were issued every year. "There are a whole range of reasons why the accused [people] have not been found, including that they may have gone overseas, are using a false identity, or have shifted to another part of the country where they are not known and have not been caught committing a subsequent crime."
Most arrest warrants were issued in Auckland, where more than 5000 people are wanted.
A spokesman from Police National Headquarters said police were concerned with
anyone wanted on an active warrant. "Locating these individuals is a focus for staff in each district, every day."
Of the 15 outstanding warrants for homicide and related offences, the three known to police all involved individuals overseas. "There are a wide range of reasons why such warrants may be outstanding and the numbers do not mean large numbers of wanted criminals are at large in the community."
The spokesman encouraged people to notify police if they knew the location of any individual wanted on a warrant.
People can also check the police "Wanteds" website, which has photos and details of offenders wanted on arrest, or call Crimestoppers on 0800 555 111 to report a known offender.
The website address is: www.police.govt.nz/wanteds.