Other types

Kardashev believed that a Type 4 civilization was impossible, so he did not go past Type 3. However, new types (0, IV, V, VI) have been proposed.

Type IV civilizations

Type IV Civilizations are civilizations that have control over at least an entire universe, and theoretically are able to harness all the power available in that universe.

Examples of Type IV Civilizations

In these examples, the exact power consumption of their entire civilizations is often unknown. They are estimated to be type IV based on the scope of their influence and technology. IE, civilizations with FTL drives and control over entire galaxies, or with abilities to affect the universe on the planetary scale.

The Xeelee - The Xeelee are barely bound by physical laws. They can time-travel, and have altered their own evolution to make themselves aware of future dangers, and built a structure out of super-strings one million light years wide, that ripped a hole in the fabric of time, and opened an escape route into another universe.
Time Lords - The Time lords can create black holes (and use them as their spacecraft's power source), and have control over space and time, even being capable of sacrificing the entire universe only for ascension as bodiless entities.
The Space Empire Zangyack - It has been implied several times that Zangyack rules all but a small fraction, which includes Earth, of the entire universe.