"Moon" songs

"Bring Down the Moon" - Boy Meets Girl
"Lasso the Moon" - Gary Morris
"Hypnotize the Moon" - Clay Walker
"Blue Moon" - Marcels
"Hometown Honeymoon" - Alabama
"I Prefer the Moonlight" - Kenny Rogers
"Moondance" - Van Morrison
"Man on the Moon" - R.E.M.
"Maybe the Moon Will Shine" - Marsha Thornton
"Big Wheels in the Moonlight" - Dan Seals
"Rope the Moon" - John Michael Montgomery
"Bad Moon Rising" - Creedence Clearwater Revival
"Shame on the Moon" - Bob Seger and the Silver Bullet Band
"Fly Me to the Moon" - Frank Sinatra
"Walking on the Moon" - Police
"Moonshadow" - Cat Stevens
"Children of the Moon" - Alan Parsons Project
"Moonlight Special" - Ray Stevens
"Dancing in the Moonlight" - King Harvest

You forgot "Moon River."

Slechtvalk - Under a Moonlit Sky
DevilDriver - Bound by the Moon
NormaJean - Sun Dies, Blood Moon
Opeth - Under the Weeping Moon
Opeth - Moonlaps Vertigo
Transformers DSotM OST - Dark Side of the Moon
The Hobbit AUJ OST - Moon Runes
Moonlight Howlers - Rocket to the Moon
WoW TBC OST - Silvermoon City
Stellar Drone - Eclipse the Moon
Iron Maiden - Moonchild
Nightwish - Moondance
Rivers of Nihil - Cancer/Moonspeak
Widek - Blue Moon
Texas Hippie Coalition - Moonshine
Dark Sarah - Sun, Moon and Stars
Turnstile - Moon
Horde - Behold, The Rising of the Scarlett Moon
Lust Control - Circumcised, Baptized Moon Pies
Diviner - The Earth, The Moon, The Stars
Majestic Vanguard - Beyond the Moon
Sorrowstorm - Occult Moon
Gatekeeper's Sword - By the Light of the Moon
O, Majestic Winter - An Autumn Moon
Seven Angels - Beyond the Dark Side of the Moon
John Eckman - Distant Moon
Every Day Life - Whitey on the Moon
Glenn Kaiser - Carolina Moon
Project 86 - Blood Moon
Sinbreed - Moonlit Night
Rehumanize - Moonbat Invasion
Royal Anguish - I Close My Eyes (Moonlight Version)
Crimson Moonlight - Symphony of Moonlight
Forevertree - Moonlight Shadows
Pivot Clowj - Moonlight

Harvest Moon - Neil Young
Brain Damage/Eclipse (I'll see you on the dark side of the Moon) - Pink Floyd
Mad Man Moon - Genesis
New Moon on Monday - Duran Duran

Bad Moon Risin'...CCR

Moonlight Becomes You (Bing Crosby)

How High The Moon (Les Paul & Mary Ford)

There’s A Moon Out Tonight (The Capris)

I always loved hearing Les Paul and Mary Ford. I also recall the others you cited. Great songs...