The goal was to create competition, which succeeded. Several companies got in the mix. But then the big corporations, even multinationals, came in and gobbled up some, killing realistic competition. So, in the end it was just a 'giveaway' to big corps, since they could take over the good infrastructure that was built up with tax-payers' money. The price was kept reasonable to enable competition, but after the initial privatization, there is no control on the 'market value'. Yeah, a few people got stinking rich from this, but the whole thing is a hoax, and the tax-payer gets hit twice: they paid for it once to build it, then end up with worse service at higher prices many times. It's just as unfair as the nationalizations of private companies that we see in the some other parts of the world.
I didn't mention the postal service in The Netherlands, yet, since it's not in as bad shape, but it's on the 3rd owner now, since becoming private, causing them to replace all mailboxes with new styles, signs on buildings, replacing all papers and forms, and force-fitting different internal systems (just in time for the next buy-out).
And as much as the USPS has been hurt by the noose of the congressional pension fund ruling from a few years back, I doubt that simple privatizion will help anybody.