A Government-commissioned review of the corporate governance of the banking industry should be more radical in considering ownership reforms, City minister Lord Myners said.
Lord Myners suggested that former regulator Sir David Walker should look at changes to give greater voting rights to shareholders who stick with companies, rather than selling up when they get into difficulties.
And he said Walker should force banks to disclose the names and pay packages of their top-earning staff, regardless of whether they are on the board.
Lord Myners - himself a former investment banker - told the BBC: "I would like to see David Walker step one step further outside the box of thinking he is currently in and see what are the more radical, indeed the most radical, solutions."
Sir David was commissioned by Prime Minister Gordon Brown in February to carry out a thoroughgoing review of the governance of the banking industry, and produced an interim report last month which recommended strengthening boards, in particular by boosting the role of non-executives in the risk and remuneration process.
But Lord Myners told the BBC News Channel's Leading Questions that he would like to see the review's final report, due in November, go much further, possibly by introducing differential voting rights for different classes of investor.
He suggested that investors who hold shares for less than six months could be denied the right to vote at banks' annual general meetings.
It is believed that this might give major corporate investors more incentive to view themselves as owners of the company and become more engaged in the detail of its governance.
Major companies are "too important" for big shareholders to trade in and out of them "willy nilly", said Lord Myners.
