The Venn intersection of awesome and kick-ass.
Alternatively: the subset inclusive of members of the both the set of things that are awesome, and the set of things that are kickass
ie: Things that are both awesome and also kickass.

First known usage: December 30, 2004 by Joshua "Danger" French, in an IM conversation regarding polar bears, documented in a blog-post by Bex Schwartz entitled "Crossing the North Pole with a Curtain Rod and an Old Duck."

Large, beautiful breasts that are keep well consealed and initially appear to be much smaller and less impressive than they actually are until unleashed.

Kick awesome is obviously the combination of kickass and awesome used when you want to emphasize that something is twice all indigenous as usual. Usually used as an interjection for excitement.

A kickass combination of awesomeness.

Its actual first usage was not by the person from the other definition, but actually by "kimicharlotte" on the Neopets forum, back in 2003.

Neopets had strict filters (and probably still has).

Something that is beyond awesome. A catchphrase by a forum goer by the name of derek. If something is just too cool for saying awesome, you would probably want to say kick awesome.

The occurrence of kicking a person or inanimate object that has been named or deemed awesome

An instance involving an authoritative figure's arrival mid-word. Saying kickass can be diverted into kickawesome to prevent the use of profanity.