One operator, who police are trying to sack, reportedly failed to send police to 19 "serious complaints" -- despite telling the caller officers were on the way.
Another was warned, for the second time, for swearing at and being rude to callers, The Dominion Post newspaper reported, using information obtained under the Official Information Act.
A South Island call centre operator received a final warning, for unauthorised use of the police database listing people's criminal records.
Police call centres received heavy criticism after the 2004 mishandling of a call by 25-year-old Aucklander Iraena Asher.
The telephonist responding to Ms Asher's call for help sent a taxi to pick her up, despite a police car being available.
The taxi then went to the wrong suburb.
Ms Asher disappeared and has not been found.
Ms Asher's mother, Betty, told the newspaper she was not surprised.
"I don't think they do their job properly at all.
"Police are good at trying to turn things on other people but they haven't improved their systems as far as I can see," she said.
A call centre review in 2005 found under-resourcing, calls unanswered and calls not answered promptly.
The Government pumped around $45 million into the centres after the review.
Police communications centre acting national manager Kelvin Powell some of the calls were just asking for advice and others reported bad driving.
"However it is acknowledged and regrettable that some events should have resulted in a police response...."
