"We think there's a case now to for saying if a body is receiving public funding and is performing a public function it should be accountable under the OIA," he said.
This meant state schools, universities, and courts would be accountable to the rules of the Act.
If the recommendation was adopted, the public would be able request information on how a political party spent its taxpayer money, because Parliamentary Services would fall under the new rules.
Professor Burrows said it was difficult to know which agencies were accountable to official information legislation, and a public register should be created.
The Law Commission said several major changes in the last three decades had prompted the need for a legislation change.
The internet era had made it possible to release vast amounts of information, the public were increasing demanding more information from central and local government, and the state was more involved in commercial operations.
Professor Burrows said the commission was recommending that government agencies became more proactive in releasing information.
He said this saved the public the need to ask for information, reduced the hassle of responding to individual requests, and ensured more people had access to it.
"In the modern age this is surely the way to go and should be encouraged," Professor Burrows said.
The commission called for a new oversight body which looked after policy, development, and performance reviews.
At present, the Ombudsman was in charge or investigating complaints under the Act, but they did not have any wider responsibilities.
"Currently the OIA has no champion," Professor Burrows said.
He said an Information Commissioner could be created who would perform a similar role to the Privacy Commission or Human Rights Commissioner.
The commission acknowledged that there might not be an appetite for a new government agency in a tough economic climate.
The review also recommended re-drafting some of the grounds for withholding information - such as "good government" and "commercial sensitivity" - which were unclear.
It would also adjust the grounds for refusing requests which imposed too great a workload on agencies.
Professor Burrows said the commission had been told of OIA requests which had taken 300 hours, or seven weeks, to process.
The Justice Ministry and Department of Internal Affairs would consider the recommendations, and were expected to act on them within six months.