when Tonya interrupts me while i'm on the phone (she has the strange need that seems common to every 2 year old of making lots of noise whenever i'm talking) i call her Baby Shitty-cat (because in addition to her "talking" she attacks - mostly biting - the hand-set and the hand holding it) - of course i make sure to say it affectionately so she doesn't realize what i'm calling her

otherwise her and her sister Shadow are usually (and interchangeably)
"bratty kitty" "little monkey" or "kitty freak-out" (the last of these being reserved for when either of them is bouncing off the walls chasing imaginary objects)

Ok, nick names for my catz:

Tigger: Tig, Tiggy

Woody: Wood-Wood-Woody (when I call him), Woodman

Uncle Baby: Uncle Booby, Uncle Boobinator, Boobster, Uncle Schnoo

Trixiebelle: Trixie, Grouchy

Raji: Rajinator, Uncle Raji, Rajinator-Palpatator, Fish Head (he's a Persian with a flat face!), Mr. Big Head, Mr. No-Chin, Chin

Inga somehow knows her name, even though we also call her:
Inga Mouse
Mouse Mouse
Inga Bear
Binga
Inga Salad
Chicken Salad Sandwich
Ragdoll
Raggy Rag

Rufus does not know his name - we only call him by continually changing niocknames:
Rooftop
Roofy
Poofy
Poovy
Poovis
Sad Face
Commodore Scuttly-Butts
Senior Poovy-Pants
Little Puff Puff
And our vet (who rescued him from a roof) calls him 'The Man'