News happens within a context. Context is inevitably a product of the reporter's bias because it requires analysis and not mere recitation of fact. And attempts at summarizing complex issues often introduce bias because they require the reporter to identify which are the relevant pieces of information.
Consider those notorious pay-day loans to low-income people. These are usually loans that last a few weeks. The borrower is charged a fee of say $15 per $100 borrowed. Typical loans are only a few hundred dollars. If you express this fee as an annual interest rate (even though the loan doesn't last that long) it's a triple-digit rate.
This outraged advocates for the poor. So the government passed a regulation limiting such "interest" (really interest and processing fee) to "protect" consumers. The result is that instead of $15.00 per $100.00, the lender now gets $1.50 per $100.00, which isn't even enough to cover the cost of the paperwork on most loans, and the vast majority of these lenders are effectively forced to shut down and make no loans at all to consumers who need a temporary loan.
So what's the story? "Government passes consumer-protection bill" or "Government forces closure of businesses serving the poor"? Did the government help the poor or hinder them?
Sure you can present a nuanced view if you have enough time, but you A) still need a headline, and B) are often forced in the news business to make the presentation of the news too short to adequately convey that much nuance. The result is you get the best summary the reporter can come up with, which ends up biased by their viewpoint.
Then consider how that happens when the regulation isn't something small like just the payday-loan regulations, but a 2000-page behemoth like the health-care or financial bills.
You could note that the financial bill imposes some limitations on banks' risk-taking with their own funds. Or you could observe that stringent limits on that risk-taking were gutted by lobbyists and pressure from legislators from New York and Massachussetts.
You could note that the bill creates a "consumer protection" agency. Or you could note that it imposes regulations on all sorts of financial products unrelated to the crisis while doing little about the derivatives central to the crisis.
You could note that the bill imposes liability on the ratings agencies for making bad ratings, and that those agencies had contributed to the crisis by rating high-risk subprime securities as being low-risk "triple-A". Or you could note that the agencies are now so fearful that they have banned bond-issuers from using their ratings, and that since bond-issuers by law are required to include ratings in their documentation, that issuance of new bonds for consumer-type loans is way down this week because issuers are in a catch-22.
These are all true. Which of these facts are presented in the story can dramatically change the picture you get of the bill, and whether it is overall a good thing or not. Most of the media are running very short clips on any given story, so the distillation process ends up introducing a lot of bias. They may not state an opinion explicitly, but it's inherent to the selection of which facts to present.
Which is all a very long way of saying, you can't eliminate the opinion by just getting rid of brazen statements of opinion. You'll still have a liberal-leaning and a conservative-leaning media because their whole understanding of reality and what just happened is filtered through their ideological lens. And the kicker is they both think they're being totally fair and even-handed.
It seems like such a fundamental human problem that I don't see a solution other than getting news from multiple sources, with different biases. In a way, that's the silver lining to today's partisan media landscape. At least you know the bias of the organization presenting the news to you.