I'm looking for a list of every song heard in the episodes. This includes the original 50s stuff heard on the jukebox, as well as the live performances done by Anson Williams and the band as well as Suzi Quatro and the Suedes.

Here is a list I compiled many years ago. It is not complete as many of the episodes I had access to were the syndicated versions that had some of the original music replaced. The list does include songs Richie and the gang performed, but the original artist is listed (the band usually performed songs that were, also, heard elsewhere in the series). It does not include instrumentals of traditional Christmas songs. Some of the songs on the list are instrumental versions, and some were re-recordings by sound-a-like artists. Sorry for the formatting; I copied and pasted this from an Excel document.

(How Much Is That) Doggie In The Window Patti Page
(Love Is Like A) Heat Wave Martha And The Vandellas
A Teenager In Love Dion And The Belmonts
All Shook Up Elvis Presley
Alley Cat Bent Fabric
Anniversary Song Al Jolsen
Are You Lonesome Tonight Elvis Presley
Baby Talk Jan & Dean
Banana Boat Song (Day-O) Harry Belafonte
Beer Barrel Polka The Andrew Sisters
Big Girls Don't Cry The Four Seasons
Blame It On The Bossa-Nova Eydie Gorme
Blow The Man Down
Blowin' In The Wind Peter, Paul, And Mary
Blue Hawaii Elvis Presley
Blue Moon The Marcels
Blue Velvet Bobby Vinton
Blueberry Hill Fats Domino
Book Of Love The Monotones
By The Light Of The Silvery Moon Doris Day
Bye Bye Love The Everly Brothers
Calendar Girl Neil Sedaka
Can't Help Falling In Love Elvis Prelsey
Cat Size Suzi Quatro
Come Go With Me The Dell Vikings
Cry Johnnie Ray
Devil Gate Drive Suzi Quatro
Devil Or Angel Bobby Vee
Do You Love Me The Contours
Down By The Old Mill Stream Tell Taylor
Earth Angel The Penguins
Easier Said Than Done The Essex
Everybody's Somebody's Fool Connie Francis
Everyday Buddy Holly
For He's A Jolly Good Fellow
Georgia On My Mind Ray Charles
Get Happy Ruth Etting
Girl Of All Nations
Goodnight Sweetheart, Goodnight The Spaniels
Great Balls Of Fire Jerry Lee Lewis
Happy Birthday Sweet Sixteen Neil Sedaka
Heartbreak Hotel Elvis Presley
Hello Mary Lou Ricky Nelson
Hey Little Girl Dee Clark
Honeycomb Jimmie F. Rodgers
Hound Dog Elvis Presley
How High The Moon Les Paul And Mary Ford
I Get Around The Beach Boys
I Love a Parade
I May Be Too Young Suzi Quatro
I Only Have Eyes For You The Flamingos
I Remember It Well Eydie Gorme & Steve Lawrence
I'm Sorry Brenda Lee
I'm Walkin' Fats Domino
In The Mood Glenn Miller
In The Still Of The Night The Five Satins
Isn't It Romantic?
It's De-Lovely
It's Late Ricky Nelson
It's My Party Lesley Gore
It's Now Or Never Elvis Presley
Jingle Bell Rock Bobby Helms
Johnnie B. Goode Chuck Berry
Kansas City Wilbert Harrison
Lady Of Spain Eddie Fisher
Let's Dance Chris Montez
Let's Twist Again Chubby Checker
Lipstick On Your Collar Connie Francis
Little Darlin' The Diamonds
Lollipop, Lollipop The Chordettes
Louie, Louie Richard Berry & The Pharaohs
Love Me Tender Elvis Presley
Mack The Knife Bobby Darin
Mashed Potato Time Dee Dee Sharp
Maybe Baby Buddy Holly And The Crickets
Memories Elvis Presley
Mona Lisa Nat King Cole
Money (That's What I Want) Barret Strong
Monkey Time Major Lance
Moon Over Miami Betty Grable
Moonlight Becomes You Bing Crosby
Moonlight In Vermont Margaret Whiting
Moonlight Love Suzi Quatro
More (Than The Greatest Love) Bobby Darin
My Boyfriend's Back The Angels
My Funny Valentine Chet Baker
My Girl The Temptations
My Guy Mary Wells
My Prayer The Platters
Never Be Anyone But You Ricky Nelson
Night Train Marvin Berry And The Starlighters
Oh, Boy Buddy Holly And The Crickets
On Broadway The Drifters
On Moonlight Bay Doris Day
One Fine Day The Chiffons
Palisades Park Freddie Cannon
Pepermint Twist Joey Dee and The Starliters
Perfidia The Ventures
Personality Lloyd Price
Poison Ivy The Coasters
Poor Little Fool Ricky Nelson
Powder My Back
Pretend Nat King Cole
Puff The Magic Dragon Peter, Paul, And Mary
Put Your Head On My Shoulder Paul Anka
Raunchy Bill Justis
Rhythm Of The Rain The Cascades
Ricochet Teresa Brewer
Rock And Roll Waltz Kay Starr
Rock Around The Clock Bill Haley And The Comets
Rockin' Robin Bobby Day
Runaround Sue Dion and the Del-Satins
Sealed With A Kiss Brian Hyland
Secret Love Doris Day
See You Later Alligator Bill Haley And The Comets
Sh-Boom The Crew Cuts
Sheila Tommy Roe
Since I Don't Have You The Skyliners
Since I Fell For You Lenny Welch
Sixteen Tons Tennesse Ernie Ford
Sonny Boy
Splish Splash Bobby Darin
Standing On The Corner The Four Lads
Stop In The Name Of Love The Supremes
Summertime Summertime The Jamies
Surf City Jan And Dean
Surfin' Safari The Beach Boys
Surfin' U.S.A The Beach Boys
Sweet Little Sixteen Chuck Berry
Take Good Care Of My Baby Bobby Vee
Tea For Two
Tequila The Champs
Thank Heaven For Little Girls
That's Life Frank Sinatra
The Birth Of The Blues Frank Sinatra
The Cha-Cha-Cha Bobby Rydell
The Great Pretender The Platters
The Lion Sleeps Tonight The Tokens
The Little White Cloud That Cried Johnnie Ray
The Loco-motion Little Eva
The Monster Mash Bobby Pickett and the Cryptkickers
The Most Beautiful Girl In The World
The Stripper David Rose
The Stroll The Diamonds
The Three Caballeros
The Twist Chubby Checker
The Way You Look Tonight
Theme From 'A Summer Place' Percy Faith
There's No Business Like Show Business Irving Berlin
Those Lazy, Hazy, Crazy Days Of Summer Nat King Cole
Top Banana
Tutti Frutti Little Richard
Twist And Shout The Isley Brothers
Twistin' The Night Away Sam Cooke
Up On The Roof The Drifters
Venus Frankie Avalon
Venus In Blue Jeans Jimmy Clanton
Wah Watusi The Orlons
Walk Right In The Rooftop Singers
Way Down Yonder In New Orleans Freddie Cannon
What'd I Say Ray Charles
Whatever Will Be, Will Be (Que Sera, Sera) Doris Day
Wheel Of Fortune Kay Starr
When I Fall In Love The Lettermen
When The Saints Go Marching In Louis Armstrong
Who Put The Bomp Barry Mann
Whole Lotta Shakin' Going On Jerry Lee Lewis
Who's Sorry Now Connie Francis
Why Frankie Avalon
Wild One Bobby Rydell
Will You Love Me Tomorrow The Shirelles
William Tell Overture
Wipe Out The Safaris
Yakety Yak The Coasters
You'll Never Walk Alone Gerry And The Pacemakers
Young Blood The Coasters
Young Love Tab Hunter
You're My Sunshine Ray Charles
You're Sixteen Johnny Burnette
You're The Cream In My Coffee Ruth Etting