A police spokesman said the data was complex and it would take considerable time to collate.
Labour police spokeswoman Jacinda Ardern said the responses suggested nothing had changed.
"How can police give an assurance to the Police Minister on Saturday, when they can't give an assurance that there were no irregularities? That seems extraordinary to me." New Zealand First leader Winston Peters called the police response a "snow-job".
"It's not credible. If they can't tell you the details, then there's totally nothing going on."
Police have said the officers involved had not understood the rules and that Commissioner Mike Bush, who was in charge of the Counties Manukau district over the period in question, did not have responsibility for crime statistics.
A police spokesman said: "Since 2012, there has been only one investigation into incorrect recoding of crime information, and that was in the south area of Counties Manukau. Had the same issue been detected anywhere else, it would have been appropriately investigated and dealt with."