Late posting today, so this will be another broad category. Any song with a (non-human) mammal mentioned in the title.

Wild Horses - The Rolling Stones
Beer For My Horses - Toby Keith & Willie Nelson
Fox On The Run - The Sweet
Hungry Like The Wolf - Duran Duran
Tiger In The Rain - Michael Franks
Eye Of The Tiger - Survivor
Feed Me To The Lions - Adam & The Ants
You Drive Me Ape You Big Gorilla - The Dickies
The Monkey - The Fabulous Thunderbirds
I Wouldn’t Treat A Dog - Angela Strehli
Sick As A Dog - Aerosmith
Dog Eat Dog - Ted Nugent
Cat Scratch Fever - Ted Nugent
Cat Food - King Crimson
Big Electric Cat - Adrian Belew
The Lone Rhinoceros - Adrian Belew
The Final Rhino - Adrian Belew
Elephant Talk - King Crimson
The Mule - Deep Purple
In The Belly Of The Whale - The Newsboys
Waltzing With Bears Gordon Bok & Ann Mayo Muir & Ed Trickett

Mona - James Taylor (JT's pig)
Old King - Neil Young (NY's dog)
Wondering Where The Lions Are - Bruce Cockburn
A Horse With No Name - America
Lions - Dire Straits
Gorilla - James Taylor
One Man Dog (album) - James Taylor
Goat Annie - Carole King
The Cat Song - Laura Nyro
Tom Cat Goodbye - Laura Nyro
Million Dollar Horse - Seals & Crofts
Dark Horse - George Harrison
Horse To The Water - George Harrison & Jools Holland
Dog Eat Dog - Joni Mitchell
Coyote - Joni Mitchell
Monkey Time - Laura Nyro & Labelle
The Horses - Rickie Lee Jones

Walking the Dog---Rufus Thomas
Monkey Man---Rolling Stones
Monkey Man---Specials
Stray Cats (band)
The Lion Sleeps Tonight---Tokens
Listen to the Lion---Van Morrison
Tie Me Kangaroo Down,Sport---Rolf Harris
Baby Elephant Walk---Henry Mancini
War Pigs---Black Sabbath
Cow Cow Boogie---Dorothy Dandridge
Dogs---The Who
Bulldog---Beatles
Run,Rabbitt,Run---Flanagan and Allen
Tiger Rag---jazz standard
Buffalo Springfield (band)
Seal (artist)
Muskrat Love---The Captain & Tennille
Mustang Sally---Wilson Pickett
Ram (album)---Paul McCartney
Bob Crosby and the Bobcats
Peter and the Wolf---Prokofiev
Steppenwolf (band)

mama lion - crosby*nash

i'm the cat - jackson browne

walk like a leopard - the pretenders

kiss that frog - peter gabriel

boris the spider - the who

itsy bitsy spider - carly simon

imagine the swan - the zombies

Shannon - Henry Gross (Carl Wilson's dog)

pink floyd: animals

dogs
sheep
pigs

Do the Dog---Specials

I Am the Walrus
Piggies---Beatles

Who's Gonna Ride Your Wild Horses - U2
Year of the Cat - Al Stewart
Cats Without Claws - Donna Summer
Rocky Raccoon - Beatles
Grey Seal - Elton John
Part Man, Part Monkey - Bruce Springsteen

Albums:
Pink Elephant - Arcade Fire
Cats Without Claws - Donna Summer
The Buffalo Skinners - Big Country

Band:
Frightened Rabbit
Fleet Foxes

...and not sure all the titles submitted above name mammals...

Weasels Ripped My Flesh---Mothers of Invention
Horses (album)---Patti Smith
Ride a Rock Horse (album)---Roger Daltrey
Mule Train---Frankie Laine
Tiger In Your Tank---Muddy Waters
I've Got a Tiger By the Tail---Buck Owens
Elephant's Memory (band)
Eddie Rabbitt (artist)
Bunny Berigan (artist)
John "Rabbit" Bundrick (artist)

Dog And Butterfly - Heart
Givin' The Dog A Bone - AC/DC
Black Dog - Led Zeppelin
Big Black Dog - Humble Pie
Let Sleeping Dogs Lie - Michael Schenker
I Wanna Be Your Dog - The Stooges
Treat Me Like Your Dog - Lonnie Brooks
My Dog's Still Walkin' - Smokin' Joe Kubek
Dirty Old Egg-Sucking Dog - Johhny Cash
Fall Dog Bombs The Moon - David Bowie
Diamond Dogs - David Bowie

Cat Fight -Denny Freeman
Cat Talking To Me - Jimi Hendrix
Pink Pussycat - Devo
Courageous Cat Theme - New York Dolls

Heart Of A Lion - Judas Priest
Young Lions - Adrian Belew

Tiger In The Spotlight - Emerson Lake & Palmer

Will The Wolf Survive - Los Lobos

A Horse Called Music - Willie Nelson
White Horses - Elegant Weapons

One Bad Elephant - Brian Slawson
White Rabbit - Jefferson Airplane, The Damned

Which Way Does That Old Pony Run - Lyle Lovett
Run Little Pony - Joe Ely
Ride Your Pony - The Meters

Grease Monkey - Jeff Beck
Line Dancing With Monkeys - Jeff Beck
Mickey's Monkey - Mother's Finest, Smokey Robinson & The Miracles
Monkey Man - Toots & The Maytals

Dead Skunk in the Middle of the Road---Loudon Wainwright III
Hound Dog---Elvis Presley
Jaguar---The Who
Kitten on the Keys---Zez Confrey
Kitty Wells (artist)
All the Cats Join In---Benny Goodman
Nashville Cats---Lovin' Spoonful
Alley Cat---Bent Fabric
Let's Misbehave ("we're merely mammals")---Cole Porter