The list would be far to long, and some areas need less regulation than other areas. E.g. power lines. Every house need power, but it would be very inefficient and even dangerous if every house had lines from six different companies.
In my country it is solved by having a free market for electric power, an exchange where the power companies buy and sell power. As a private person, I can buy from any power company I want to, and change any time I want to. Currently I pay spot price for power (available any time from the exchange I linked to) + a fixed monthly fee of 35 cents. The company that owns the lines to my house have to deliver that power to me. And the fee they can take to deliver the power I bought is strictly regulated. This is a very effective system, combining free market for what it is possible to make a free market for, and a strictly regulated market where a natural monopoly exists and is the most effective organization.