Dear Julian Assange: The Internet is the Most Appalling Spy Machine
i4u.com
i4u.com
If you're paranoid, the Internet at large can be pretty anonymous: proxies, encrypted communications, etc. It's just a communications network and you can make it nearly as secure as you want.
It's a heck of a lot easier to be anonymous on the Internet than it is in the real world. Being anonymous on Facebook doesn't even compute, and any privacy options you select are at their discretion to provide and honor.
Maybe we need less people trying to re-create social networks with lies about privacy, and more people helping users create their own safe/secure cloud. Hosting your own e-mail is an amazing place to start.
Unless of course you estimate that the internet is a place where you have to use big centralized services very often. We do use them very often, but as billybob¹ said, we don't actually have to.