Bits and Pieces – you may find interesting or you may not

If you own a non-combat pet and stop moving for a while, it will begin to sleep or do other kinds of emotes.

The Zergling pet will chomp at air.
The Murky pet will sing and dance.
The Mini-Diablo pet spouts out fire when he is idle.
The Panda Cub and Sleepy Willy lie down and sleep (you see green Z Z Z …) when idle. The Panda Cub named Meng Meng will give you one Magic Bamboo Stick if you /love it. You can only get one in your bags at a time. It’ll turn you into a panda cub for ten minutes!
The Speedy pet will shout, scaring nearby critters.
The Peanut pet will occasionally blow his nose, making a noticeable elephant noise.
The Willy pet will occasionally kill nearby critters with an eye-beam.
The Egbert pet will run around like a caffeinated two year old.
The Pandaren Monk pet will respond to /bow and /drink emotes. Also, he will do… kung fu!
The Core Hound Pup pet will howl, stand on its hind legs and bark, roll around, and dig up a bone.
The Onyxian Whelpling pet will emote a deep breath, but fail and let out a plume of smoke.
The Grunty pet will start to shoot his gun. If a Zergling pet is nearby, the two will battle until one pet dies (gets despawned).
The Tyrael’s Hilt summons Tyrael from the Diablo games. He responds to /dance emotes, and will sleep while floating in the air.
The Perky Pug pet will occasionally drag his rear along the ground.
The Stinker pet will chase any nearby Bombay Cat, Black Tabby, or Feline Familiar pets and gain a heart above his head, before it breaks. The reference is from Pepé Le Pew.
The Lil’ Phylactery pet will occasionally Frost Block a nearby critter, killing it.
The Toxic Wasteling pet will occasionally devour critters (and grows in size by doing so) if you bring it close to them.
The Creepy Crate pet will occasionally deathgrip critters and devour them, burping out a green gas and “licking its lips” afterwards. (wowwiki)