Much as I like the idea of improving Facebook by not using the Web I don’t think there’s an analogue version of Facebook?
Using the web will still track your activity wether or not you visit Facebook. But if you let them track you, your web experience will actually improve because you get to see ads for things you might be interested in. This is actually a GOOD thing. However, you may not be willing to pay the price for that, which is that they know about the stuff you like.
If you turn off all tracking and no-one knows anything about you, you’ll see ads for things that you don’t care about. Unless you block ads altogether, in which case you end up using services without paying for them. Which in my book isn’t really very nice.