Councillor Cameron Brewer has gone further by saying the CCOs have got off far too lightly with just $10.4 million of cuts from their collective budgets.
"There's a lot of fat in the CCOs which soak up a lot of council's annual $3 billion operational budget," he said.
Mr Brewer highlighted Waterfront Auckland, which has an operational budget of about $27 million, for finding no savings and just proposing $347,000 extra rental income from the Cloud.
He has also questioned the need for Ateed to have 60 staff employed in economic development.
Ateed chief executive Brett O'Riley said a review of the economic development unit, which included eight staff funded by central government, was currently underway. It was too early to say if it would lead to job losses as some jobs were being disestablished and new jobs created, he said.
Waterfront Auckland chief executive John Dalzell rejected Mr Brewer's criticism: "We were asked to do our bit and we have done our bit."
He said the extra revenue from the Cloud represented more than 4 per cent of Waterfront Auckland's operating spending, it had absorbed $188,000 of extra insurance costs and was likely to save further money by reducing maintenance for some public assets.
The largest CCO, Auckland Transport, put forward about $20 million of savings from an operational budget of $792 million, but Mr Brown's office and a small group of councillors only accepted $4.096 million.
CCOs with big capital projects - such as Auckland Transport and Waterfront Auckland - will come in for more attention when Mr Brown reviews the the council's $1.8 billion capital programme next year.
A Herald report last month found that it cost $13.3 million in board and executive costs to run the CCOs.
CCO budget cuts/extra income
Auckland Transport: $4.096m
*Discontinue berm mowing
*Reduce fund for emergency bus services
Regional Facilities Auckland: $1.126m
*Staff rationalisation
*Reduced funding for regional facilities
Selling land adjacent to TelstraClear Events Centre
Waterfront Auckland: $347,000
*Increased rental income from the Cloud.
Auckland Council Investments: $3.48m
*Dividend policy from 90 per cent payments to 100 per cent
Auckland Council Property: $200,000
*Reduce consultancy and other costs
Auckland Tourism, Events and Economic Development: $1.175m
*Close five visitor centres
*Corporate savings