Cookie is a fairly common term for pussy...so is beaver, coochie, cooter, cuca, clam, flange, hoo-ha, minge, penocha, putang, snapper, taco, va-jay-jay and those are just the more common ones.
ETA: MOAR
Bait
Bald Biscuit
Banana Box
Bean
Bear Trap
Bearded Ax Wound
Bearded Clam
Bearded Taco
Beaver
Beaver Teeth
Beef Tomato
Beetle Hood
Belly Entrance
Bikini Bizkit
Bird's Nest
Birth Canal
Bitch Ditch
Black Hole
Black Hole Of Calcutta
Black Oak
Bluntfrunt
Bologna Flap-over
Bone Hider
Bone Polisher
Bonefish
Bottom less Pit
Bowl
Box
Boy In The Canoe
Brakepads
Brazilia n Caterpillar
Bread-box
Br eakfast Of Champions
Bucket
Buffalo Gums
Bunny Tuft
Burger Bar
Bush
Bush Tucker
Calamari Cockring
Camarillo Brillo
Candy Kiss
Carpet
Cat
Catch er's Mitt
Cats Paw
Cherry
Cherry Pop Tart
Chia Hole
Chicken's Tongue
Chin-chin
Clam Canal
Clamarama
Clap Trap
Clit Slit
Cock Cave
Cock Curator
Cock Holster
Cock Magnet
Cock Pocket
Cock Sock
Cock Socket
Cock Squeezer
Cock Warmer
Cock-chafer
Cockp it
Cold Cut Combo
Conch Shell
Cooch
Coochie Pop
Cookie
Coose Canal
Cooter Muffin
Cooze
Count Fapula
Courtney Cocksleve
Crack
Crack Of Heaven
Crave Cave
Cream Canal
Crotch Waffle
Cucumber Canal
Cum Crack
Cum Craver
Cunny
Cunt
Cun try Pie
Cuntzilla
Cupid's Cupboard
Curly Curtains
Davey Jones Locker
Dead Clam
Deep Pink
Deep Socket
Deer Hoof
Depository
Devil's Hole
Dick Basket
Dick Deposit
Dick Driver
Dick Dungeon
Dick Eater
Dick Mitten
Dick Rack
Dildo Hotel
Dinner Roll
Dna Dumpster
Dog's Mouth
Door Of Life
Dove Breast
Egg Drop Box
Enchilada Of Love
Erie Canal
Fatty
Fetus Flaps
Field Of Dreams
Fish Canyon
Fish Dish
Fish Mitten
Fish Sandwich
Fishamjig
Flapp ed Bap
Flaps
Flesh Cavern
Flesh Tuxedo
Flower
Fly Catcher
Fortune Nookie (china)
Foxhole
Front Bottom
Fruit Cup
Frum
Fuck Donut
Fuck Pocket
Fuckhole
Fun Hatch
Fur Burger
Furby
Furrogi (poland)
Furry 8 Ball Rack
Furry Furnace
Fury Pink Mink
Fuzz Box
Fuzz Bucket
Fuzzy Wuzzy
Gash
Gauntlet
G izmo
Glory Hole
Golden Arches
Golden Palace
Golden Valley
Goodie Basket
Grandest Canyon
Grassy Knoll
Ground Zero
Grumble
Hair Pie
Hairy Doughnut
Hairy Heaven
Hairy Potter
Ham Sandwich
Hamper Of Goodies
Happy Flappy
Happy Valley
Hatchet Wound
Head Catcher
Her Asshole Neighbor
Holiest Of Holies
Holy Grail
Home Plate
Homebase
Honey Pot
Horn Of Plenty
Hot Pocket
Hot Spot
Hot Tamaki Walk
Hump Hole
Hungry Minge
Indian Bones and the Temple of Poon
Jaws Of Life
Jelly Roll
Jewel Box
Jezebel's Smell
Jizz Recepticle
Juice Box
Kitty Cage
Kitty Kat
Knish
Lap Flounder
Launch Pad
Lawrence Of A Labia
Lick N' Stick
Lip Jeans
Lip Tip
Little Debbie
Lobster Pot
Lotus
Love Canal
Love Cave
Love Glove
Love Hole
Love Rug
Lovebox
Lucy
Mamm al Hole
Man In The Boat
Man's Charity Bash
Mans Ruin
Marcia (australia)
Meat Counter
Meat Crease
Meat Curtains
Meat Massager
Meat Tunnel
Meat Wagon
Melvin
Midnight Dip
Mingus
Mommy Parts
Mommy's Pie
Moneymaker
Mossy Jaw
Mound
Mound Of Venus
Mud Flaps
Muff
Mule Nose
Mumble Pants (sweden)
Mumbler (australia)
Mystical Fold
Nana
Nappy Dugout
Nappy Roots
Nether Lips
Nice Slice
Ninja Boot
Noochie
Nookie
O ld Catchers Mitt
One Eyed Worm Hole
One-eyed Python Trail
Pachinko
Packin Shack
Pancake Fold
Pandora's Box
Panty Hamster
Pastrami Flaps
Peach
Pearl Hotel
Pee Jaws
Peeshie
Penalty Box
Penis Parking
Penis Pothole
Penis Purse
Penis Warmer
Peter Vise
Peters Grove
Pickle Stinker
Pink
Pink Circle
Pink Cookie
Pink Heaven
Pink Panther
Pink Portal
Pink Taco
Pink Truffle
Pink Turtleneck
Pish Buffet
Piss Fenders
Piss Flaps
Pissy Froth Hole
Pizzo
Pocket Pie
Pole Hole
Pole Magnet
Ponchita
Poochika
Poody Tat
Poon Jab
Poonaner
Poontang
Poontang Pie
Pooswaa
Pork Pie
Pound Cake
Private Area
Pud Pocket
Pudding
Punani
Punash
Purple People Penis Eater
Pussy
Python Syphon
Queef Quarters
Quim
Rack Of Clam
Rattlesnake Canyon
Red Lane
Red River Gorge
Red Sea
Republic Of Labia
Richards House
Roast Beef Curtains
Rooster Jaws
Rosebud
Round Mound Of Beehound
Salami Garage
Saloon Doors
Sausage Wallet
Scrambled Eggs Between the Legs
Scrumpter
Scunt
Sea Food Six Pack
Serpent Socket
Silk Funnel
Silk Igloo
Skin Canoe
Skins
Slice Of Heaven
Slippery Slide
Slop Hole
Slot Pocket
Slurpee Machine
Slurpy
Snail Tracker
Snake Charmer
Snake Lake
Snatch
Snooch
So uth Mouth
Spasm Chasm
Sperm Bank
Sperm Shack
Sperm Sucker
Spitball Bullseye
Split Dick
Spunk-pot
Squeeze-b ox
Squid
Stench Trench
Stink Rink
Stinkhole
Stinky Speedway
Stop-n-pop
Suga r Basin
Sugar Hole
Sweat Box
Sweet Briar
Tackle Box
Tampon Tunnel
Temperamental Ringpiece
Temporary Lodgings
The Big Casino
The Big W
The Blow Hole
The Bone Collector
The Condo Downstate
The Cum Dump
The Dea Bone Patch
The Death Of Adam
The Deflower Patch
The Easy Bake Oven
The Fish Flap
The Furry Cup
The Great Divide
The Helmet Hide-a-way
The Indoor Barbecue
The Indoor Picnic
The Notorious V.a.g.
The One-door Vulva
The Promised Land
The Pump Protector
The Schlong Sucker
The Shrine
The Toothless Blowjob
The Twatlantic Ocean
The Unmentionable
The Vegan Store
The Vegetarian's Temptation
The Virginator
The Welcome Opponent
The Wombsday Book
Theme Park
Thresher
Tickled Pink
Tinker Bell
Tomahawk Chop
Tongue Depressor
Tongue Roll
Toolshed
Trim
Tu na Pot Pie
Tuna Spread
Tuna Taco
Tuna Town
Tunnel Of Love
Twat
Vacuum Vulva
Vadge
VAG (didn't forget it Muted you dodo)
Vagina
Vedgie
V elcro Love Triangle
Venus Butterfly
Vertical Smile
Vidgie
Wagon Ruts
Wand Waxer
Weiner Wrap
Welly Top
Wet Mark
Wet Seal
Where Uncle's Doodle goes
Whisker Biscuit
Willys Haven
Wilt Chamberlian's daily glove
Wizard's Sleeve
Wolly Bolly
Womens Weapon
Wonder Bread
Wookie
Yeast Pocket
Yo Yo Smuggler
Yoni