Tmsorosk - I've used both Anaconda CXs and King Cobras CXs. Since you are familiar with the Anaconda, maybe the best way to describe the KC is to say it offers more of what the Anaconda offers in the same way that the Anaconda offers more of what you'd get from say, a Python CX. It is a relative improvement best tied to gear capable of showing the improvements it can bring.
Overall that means a lower noise floor which translates to improvement in transparency and detail. Those general characteristics cash out in different ways depending on your gear; for example: improved image specificity, heightened image dimensionality, more harmonic information, with improved definition on leading edges, including lower frequency instruments such as cellos, basses, timpani. The KC is a 5AWG cable and offers the current handling ability you'd expect from a wire that size - it is definitely a hefty power cord.
I heard the biggest impact from the King Cobra on my ARC Ref Phono 2 phono stage. All that being said, I read that in a couple weeks at CES, Shunyata may be introducing new technologies into their power cord lineup similar to what they did with their ICs and speaker cables. I don't have the URL handy, but there is a recent TAS/Robert Harley review of those which suggests the changes are not subtle.