My Dog's name is Abby but I I call her all kinds of things...haha
This is what I say:
:happy: Your such a little Fluffer-nutter!

I like the wagging your dragging!

To the husband: Oh Hunny, I think Abby has WTS again! (Waggy tail syndrome)

Abby hides under the bed, peeks out then drags toys under so I call her a "Bed monster" that tries to bite out feet...not really though
:flowerforyou: Smookie wookie cookie head
:smooched:Smoochy poochie
:laugh: Mofo with the mojo
:indifferent: Fluffy poop machine
:drinker: We call her treats Nom noms...
:bigsmile: My husband calls her a monkey...no idea why hahahaha
I know I am missing a few...haha
What pet names do you have for your pet?