I've named all my favorite pets (and some that aren't favorites), so I have a lot of names. But I'll just name a few.
I named my Shardhorn Runt - "Ben Dover." I think people can guess why. But I got the name from one of the Fletch movies with Chevy Chase where they throw him into the jail cell. He asks the guy in the cell what his name is, and the guy answers "bend over," to which Fletch replies "Nice to meet you Ben!"
And I named my Stormwind Rat "Alliance Suks." I always have him out when I'm playing my Alliance toons. I'm not sure people know what to people think (I'd probably get reported having him out on Horde).
The one you'll see me with on my Rogue, all of the time, unless I'm in PVP, is my Disgusting Oozeling named "Dark Matter." He makes my rogue look dark and sinister. MUAHAHAHA!
Here are some others. I know they're not all funny. And some of them you may not get the reference to unless you google them. Lon Chaney Jr comes to mind. If you understand the reference it makes perfect sense.
Anubisath Idol: "Sandman"
Ashleaf Spritling: "Sweatleaf"
Arcane Eye: "Big Brother"
Baby Ape: "Dinky Kong" (dinky as in small)
Black Ram: "Baa Ram You" (From the movie Babe)
Blackfuse Bombling: "Ka BOOM"
Chetah Cub: "Poker Face" (get it? Cheeter - poker)
Chuck: "Up Chuck" (slang for vomit)
Clockwork Gnome: "Steampunk"
Cornish Rex: "Casiodorus Rex" (the king from the movie Dragonslayer)
Crawling Claw: "Theo Switcheroo"
Creepy Crate: "Suggestion Box"
Dancing Water Strider: "Joan Jett"
Dandelion Frolicker: "Trippy"
De-Weaponized Mechanical Companion: "Costa Battlestone"
Death Adder Hatchling: "Mad Adder"
Disgusting Oozeling: "Dark Matter"
Emerald Proto-Welp 1: "Smaug"
Emerald Proto-Welp 2: "Vermithrax" (from Dragonslayer)
https://www.youtube.com/watch?v=F0OcydGB8a4
Emerald Turtle: "Turd"
Enchanted Lantern: "Bug Zapper"
Dung Beatle: "Dung Nomm Nomm"
Eye of the Observer: "Eye See You"
Flayer Youngling 1: "Slice And Dice"
Flayer Youngling 2 "Mince Meat"
Flux Feline: "Flux Capacitor" (Back to the Future)
Fossilized Hatchling: "Boner" (this one was really funny when he would gain levels)
Fungal Abomination: "Amanita" (Destroying Angel and Death Cap are of the Amanita genus, and are the two most poisonous mushrooms in the world.)
Gahz'rookie: "Lary Moe Curly"
Giant Sewer Rat: "Rous"
Gregarious Grell: "Mischief"
Highlands Turkey: "Eat Pork"
Hydraling: "Aarrgghh"
https://www.youtube.com/watch?v=LJfowXTXOfU
Infected Squirrel: "STD"
Infected Bear Cub: "Anti Dote" (meaning #2 below)
http://dictionary.reference.com/browse/dote?s=t
Jade Oozeling 1 & 2 "Gleak and Bleak" (from some old cartoon in the 70s)
Jade Owl: "Flying Stoned" (he's a stone owl)
Lil' Bad Wolf: "Lon Chaney Jr"
http://www.bing.com/images/search?q=lon ... &FORM=AWIR
Lil' Taregosa: "Justa Guild Perk"
Lofty Libram: "War And Peace"
Lost of Lordaeron: "GPS"
Macabre Marionette: "RANX"
http://www.bing.com/images/search?q=ran ... &sp=-1&sk=
Menagerie Custodian: "Marvin On Roids"
Masked Tanuki: "Dumpster Diver"
Mirror Strider: "Rorrim" (it's mirror backwards)
Moths (several moths): "Son of Mothra"
Netherspace Abyssal: "Balrog"
Pandaren Monk: "Bolo Yeung"
http://en.wikipedia.org/wiki/Bolo_Yeung
Perkey Pug: "POOPIE"
Pet Bombling: "Short Fuse"
Plump Turkey: "Tasteslikechicken"
Pocket Reaver: "The Great Og"
https://www.youtube.com/watch?v=ssBye4JJwA4
Pterrordax Hatchling: "Im Not Extinct"
Rapana Whelk: "Lawrence"
Resiliant Roach: "Invincible"
Restless Shadeling: "Shadow"
Roach: "RAAAAID"
Ruby Droplet: "Redrum" (ref to The Shining)
Ruby Sapling 1: "Treebeard"
Ruby Sapling 2: "Old Man Willow"
Scooter The Snail: "Down Under"
Sea Pony: "Son of Poseidus"
Searing Scorchling: "Flame On"
Sen'Jin Fetish: "Woodie"
Shardhorn Runt: "Ben Dover"
Shimmershell Snail: "Escargot"
Silent Hedgehog: "Loud Mouthed"
Singing Sunflower: "Megadeath"
Spider: "Boris"
https://www.youtube.com/watch?v=bvFuUaCe8eY
Spirit of Summer: "Flatus" (because let's face it, he looks like a fart)
Stitched Pup: "Frankenweenie"
Stormwind Rat: "Alliance Suks"
Stunted Yeti: "Little Foot"
Sunreaver Micro-Sentry: "Gort" (From: The Day the Earth Stood Still)
Terrible Turnip 1: "Eat Yer Veggies"
Terrible Turnip 2: "Vegging Out"
Tiny Harvester: "Im With Dorthy"
Tiny White Carp: "Carpe Diem"
Tirisfal Batling: "Vamperic Wannabe" (because I'll never have a Vamperic Batling)
Toxic Wasteling: "Flubber"
Tranquil Mechanical Yeti: "RAWR"
Tree Python: "Monty"
Turkey: "Blackjack"
Twilight Fiendling: "Lil Fiend"
Unborn Val'kyr 1: "Helgakvioa"
Unborn Val'kyr 2: "Volundarkvioa"
http://en.wikipedia.org/wiki/Valkyrie
Viscidus Globule: "JELLO"
Voodoo Figurine: "Doug" (get it? I dug him up.
)
Wildhammer Gryphon: "Alliance Defector"
—Rx