I just noticed a few from recent songs:
The Fratellis - Flathead
The Offspring - Hammerhead
The Shins - Phantom Limb
Silversun Pickups - Lazy Eye
Some oldies:
Morrissey - Suedehead
Luscious Jackson - Naked Eye
King Missile - Detachable Penis
Ahem…
This one comes to mind - Limp Biskit - Chocolate Starfish.
I remember being a tiny bit shocked when my friend, a LB fan, told me what it refers to.
A couple Hold Steady songs:
“Arms and Hearts”
“Knuckles”
And a Lifter Puller one:
“Star Wars Hips”
Let’s not forget “Achy Breaky Heart,” one of the greatest earworms of all time.
“Pancreas” - Weird Al Yankovic
“Noises for the Leg” – Bonzo Dog Band
Sting - Lazarus Heart
I left my heart in san francisco
Ring Around Your Neck
Heart of Glass
Open Arms
Bone Machine
Eye of the Tiger
Hungry Eyes
She’s Got Legs
Touch My Tooter
Big Titties
Baby Got Back
Rumpshaker
I See Bones
Skin
by Allan Sherman
Detachable Penis
King Missile
These aren’t all peculiar but, ahhh, I’ll let you sort them out. 
“Ashtray Heart” – Captain Beefheart
“Ass” – Mule
“Ballad of Peter Pumpkinhead” – XTC (ehh, iffy, whatever)
“Black Heart” – Calexico
“Black Lung” – Sixteen Horsepower
“Blackened Blue Eyes” – Charlatans UK
“The Blue-Skinned Waltz” – Rachel’s
“Bones” – Radiohead
“A Catholic Skin” – Birthday Party
“Danglin’ Feet” – Devotchka
“Dot Eye” – Sam Prekop
“Emerald Eyes” – Fleetwood Mac
“Eyeball Kid” – Tom Waits
“Green Eyes” – Nick Cave
“Haemoglobin” – Placebo
“The Hair Shirt” – Birthday Party
“Hands Away” – Interpol
“Heart in a Cage” – The Strokes
“A Heart the Size of a Horse” – Black Heart Procession
“Heart Without a Home” – Black Heart Procession
“His Eyes” – Rachel’s
“Horse Head” – Sixteen Horsepower
“Human Hands” – Bowerbirds
“Irish Blood, English Heart” – Morrissey
“The Jaws of the World” – Devotchka
“Large Amerikan Jaw” – Meathead
“Last Legs” – Cop Shoot Cop
“Laughing Eyes” – P.W. Long
“Memphis Hip Shake” – The Cult
“My Iron Lung” – Radiohead
“Olive Hearts” – The Bowerbirds
“Pale Blue Eyes” – Velvet Underground
“Peacebone” – Animal Collective
“Ponytail” – Panda Bear
“Pooh Butt” – P.W. Long
“Poor Mouth” – Sixteen Horsepower
“Private Eyes” – Hall and Oates (don’t judge me, dude)
“The Promised Womb” – Dead Can Dance
“Red Right Hand” – Nick Cave
“Red Eyes and Tears” – Black Rebel Motorcycle Club
“Rilkean Heart” – Cocteau Twins
“She Removes Her Spiral Hair” – Midlake
“Sherbert Head” – Boards of Canada
“Slow Hands” – Interpol
“The Speaking Hands” – Wovenhand
“Square Heart” – Black Heart Procession
“Strawfoot” – Sixteen Horsepower
“Summerhead” – Cocteau Twins
“Those Eyes, That Mouth” – Cocteau Twins
“Tin Finger” – Woven Hand
“TV Eye” – The Stooges
“Wild Heart” – Stevie Nicks
Define ‘peculiar’…
Is it ‘bodyparts that it’d be peculiar to mention in song’?
In which case, I throw in Do The Brown Nose - The Dead Milkmen
Is it ‘if the title accurately describes the bodypart in question, that’s peculiar’? (That looks like what the OP is getting at, but subsequent posts have me confused.)
In which case, I present Pinhead - the Ramones.
Is ‘peculiar’ actually meant to be ‘particular’?
In which case, there’s a whole lot, and I’ll TOTALLY post a list of stuff I have, which will no doubt include more examples for each of those possibilities.
From the same album:
Be Still My Beating Heart
Straight To My Heart
And later…
Shape Of My Heart
This one makes me laugh:
“Girl With Combination Skin” - Boy George
Others:
“Poor Skeleton Steps Out” - XTC
“Crazy Baldhead” - Bob Marley & The Wailers
“Lung Shadows” - The The
“Bullet Brain and Cactus Head” - Split Enz
“Fingertips” - They Might Be Giants. It’s a bizarre collection of short “mini-songs” (21 of them, each running about 5-30 seconds long).
I was referring to body parts that are described in some way. For example, in Post 9 “Hungry Eyes” and “Big Titties” work but “Touch My Tooter” and “Rumpshaker” don’t. Sorry I wasn’t clearer.
“Bubble Toes” by Jack Johnson.
“The sacro-iliac” by 10cc wins hands down.
My favorite: Pink Eye On My Leg, by Ween
Bette Davis Eyes :eek:
I didn’t check for duplicates, but here is my list from my iTunes collection, sorted by region:
Heart
Beating of Hearts - XTC
Break Your Heart - Barenaked Ladies
Cold Cold Heart - Norah Jones
Dyslexic Heart- Paul Westerberg
Hairless Heart - Genesis
Heart of Gold - Neil Young
Heart Shaped Box - Nirvana
Heartbeat - King Crimson
How Can you Mend a Broken Heart- Bee Gees
I’m Having a Heart Attack - TMBG
Irish Blood, English Heart - Morrissey
Unchain my Heart - Ray Charles
Where is your Heart - Kelly Clarkson
Eye
Behind Blue Eyes- The Who
In your Eyes - Peter Gabriel
Iris- Live
Poison Eye - Chris Cornell
Right Between the Eyes - Graham Nash
This Night has Opened my Eyes - The Smiths
The Watchful Eye - Mike Oldfield
Tired Eyes - Neil Young
Head
Crazy Baldheads- Bob Marley
Fish Head- Adrian Belew
Hall of Heads- TMBG
Pencil Neck Geek - Freddie Blassie
Place for My Head - Linkin Park
Headwires - Foo Fighters
Face/Lip
Don’t Gimme No Lip- Pearl Jam
Face to Face- Adrian Belew
Lips Like Sugar- Echo and the Bunnymen
Screw Face - Bob Marley
Shoehorn with Teeth - Da Vinci’s Notebook
Smile Like You Mean It - Killers
Shoulder/Arm/Hand/FInger
Dirt Off Your Shoulder- Jay Z
Elbow Room- Schoolhouse Rock
Fingertips- They Might Be Giants
Hand in Glove- The Smiths
Hands Away- Interpol
Hands Clean- Alanis Morissette
Hands Up - Black Eyed Peas
Look Ma, No Hands- Elton John
Put Your Hand Inside the Puppet Head - TMBG
Severed Hand - Pearl jam
Slight of Hand - Pearl Jam
Something Grabbed a Hold of My Hand - TMBG
Throw your Arms Around Me - Pearl Jam
Thumbing my Way - Pearl Jam
Thumb Tack - Vic Chesnutt
TreeFingers - Radiohead
Two Hands - King Crimson
Leg/Knee
Knees of My Bees- Alanis Morissette
Legs- ZZ Top
Little Twelve Toes (Schoolhouse Rocks) - Chavez
Footsteps - Pearl Jam
Gonads
Detachable Penis - The Cramps
My Vagina - NOFX
New Vagina- Blood Hound Gang
Penis Song - Monty Python
Vagina Song - George Carlin
Back
Give Me Back My Name- Talking Heads
Lean Back- Fat Joe
No Language in Our Lungs - XTC
Spineless - Alanis Morissette
Buttocks
Ass Like That - Eminem
Butt F*ck- Human Sexual Response
Kick in the Ass - Moxy Fruvous
Duplicates
Head over Feet - Alanis Morissette
Skin and Bones - Foo Fighters
Stomach vs. Heart - Barenaked Ladies
Lips N Hips - Electric Boys