When it comes to this stuff, simply look at what China is doing. It seems to be ground zero for future censorship methods.
The next approach is probably VPNs, although they won't last forever. Governments could always just pass a law outlawing encryption (China has banned VPNs) or compelling services to allow them to man-in-the-middle for any connection. Once it becomes illegal to hide your online activities, there's very little you can do and remain legal.
That said, tricks also exit for hiding data in plain sight (see steganography [1]). Then you end up in this weird territory of illegal numbers and representations of them [2].
