1950:

Rudolph The Red-Nosed Reindeer: Gene Autrey
I Can Dream, Can't I?: The Andrews Sisters
Rag Mop: The Ames Brothers
Chattanoogie Shoe Shine Boy: Red Foley
Music! Music! Music!: Theresa Brewer
If I Knew You Were Comin' (I'd've Baked a Cake): Eileen Barton
The Third Man Theme: Anton Karas
Mona Lisa: Nat King Cole
Goodnight, Irene: Gordon Jenkins and The Weavers
Harbor Lights: Sammy Kaye
The Thing: Phil Harris
The Tennessee Waltz: Patti Page (Also topped the charts through January of 1951)

1951:

If: Perry Cumo
Be My Love: Mario Lanza
How High The Moon: Les Paul and Mary Ford
Too Young: Nat King Cole
Come on-a My House: Rosemary Clooney
Because of You: Tony Bennett
Cold, Cold Heart: Tony Bennett
(It's No) Sin: Eddy Howard
Cry: Johnny Ray and the Four Lads (Topped the Charts through March of '52)

1952:

Wheel of Fortune: Kay Star
Blue Tango: Leroy Anderson
Here In My Heart: Al Martino
Delicado: Percy Faith
Auf Wiederseh'n Sweetheart: Vera Lynn
You Belong To Me: Jo Stafford
I Went To Your Wedding: Patti Page
It's in the Book (Parts 1 & 2): Johnny Standley
Why Don't You Believe Me?: Joni James
I Saw Mommy Kissing Santa Claus: Jimmy Boyd (Topped the charts through January of '53)

1953:

Don't Let the Stars Get in Your Eyes: Perry Cumo
'Til I Waltz Again With You: Teresa Brewer
The Doggie in the Window: Patti Page
The Song from Moulin Rouge (Where Is Your Heart): Percy Faith
I'm Walking Behind You: Eddie Fisher
Vaya con Dios (May God Be with You): Les Paul and Mary Ford
St. George and the Dragonet: Stan Freberg
Rags to Riches: Tony Bennett

1954:

Oh! My Pa-Pa (O Mein Papa): Eddie Fisher
Secret Love: Doris Day
Make Love to Me: Jo Stafford
Wanted: Perry Cumo
Little Things Mean a Lot: Kitty Kallen
Sh-Boom: The Crew-Cuts
Hey There: Rosemary Clooney
This Ole House: Rosemary Clooney
I Need You Now: Eddie Fisher
Mr. Sandman: The Chordettes (A top hit through January of 1955)

1955:

Let Me Go, Lover: Joan Webber
Sincerely: The McGuire Sisters
Heart of Stone: The Fontane Sisters
Ballad of Davy Crockett: Bill Hayes
Cherry Pink and Apple Blossom White: Pérez Prado
Unchained Melody: Les Baxter
Dance with Me Henry (Wallflower): Georgia Gibbs
Learning The Blues: Frank Sinarta
Rock Around the Clock: Bill Haley & His Comets (Proclaimed the first ever Rock and Roll chart-topper)
Yellow Rose of Texas: Mitch Miller
Ain't That A Shame: Pat Boone
Love is a Many-Splendored Thing: The Four Aces
Autumn Leaves: Roger Miller
Sixteen Tons: Tennasee Earnie Ford

1956:

Memories are Made of This: Dean Martin
Rock And Roll Waltz: Kay Star
The Great Pretender: The Platters
Lisbon Antigua: Nelson Riddle
Poor People of Paris: Les Baxter
Heartbreak Hotel: Elvis Presley (Elvis' first big hit)
Hot Diggity: Perry Cumo
Moonglow and Theme From "Picnic": Morris Stoloff
The Wayward Wind: Gogi Grant
I Want You, I Need You, I Love You: Elvis Presley
My Prayer: The Platters
I Almost Lost My Mind: Pat Boone
Hound Dog: Elvis Presley
Don't Be Cruel: Elvis Presley
Green Door: Jim Lowe
Love Me Tender: Elvis Presley
Any Way You Want Me: Elvis Presley
Singing The Blues: Guy Mitchell (Remained number one through January of '57)

1957:

Too Much: Elvis Presley
Young Love: Sonny James
Don't Forbid Me: Pat Boone
Young Love: Tab Hunter
Butterfly: Andy Williams
Round and Round: Perry Cumo
All Shook Up: Elvis Presley
Party Doll: Buddy Knox
Love Letters In the Sand: Pat Boone
(Let Me Be Your) Teddy Bear: Elvis Presley
Tammy: Debbie Reynolds
That'll Be The Day: Buddy Holly and the Crickets
Diana: Paul Anka
Honeycomb: Jimmie Rodgers
Wake Up Little Suzie: The Everly Brothers
Jailhouse Rock: Elvis Presley
Chances Are: Johnny Mathis
You Send Me: Sam Cooke
April Love: Pat Boone

1958:

At The Hop: Danny and the Juniors
Don't: Elvis Presley
Sugartime: The McGuire Sisters
Get a Job: Silhouettes
Tequila: The Champs
Catch a Falling Star: Perry Cumo
He's Got the Whole World In His Hands: Laurie London
Twilight Time: The Platters
Witch Doctor: Dave Seville
All I Have to Do Is Dream: Everly Brothers
Claudette: Everly Brothers
Poor Little Fool: Ricky Nelson
It's All in the Game: Tommy Edwards
Nel Blu Dipinto Di Blu (Volare): Domenico Modugno
Little Star: The Elegants
It's Only Make Believe: Conway Twitty
Tom Dooley: The Kingston Trio
To Know Him Is to Love Him: Teddy Bears
Purple People Eater: Sheb Wooley
Hard-Headed Woman: Elvis Presley
Patricia: Perry Cumo
Yackity Yack: The Coasters
The Chipmunk Song (Christmas Don't Be Late): David Seville and The Chipmunks (Number one hit through January of 1959)

1959:

Smoke Gets in Your Eyes: The Platters
Stagger Lee: Lloyd Price
Venus: Frankie Avalon
Come Softly To Me: The Fleetwoods
The Happy Organ: Dave "Baby" Cortez
Kansas City: Wilbert Harrison
The Battle of New Orleans: Johnny Horton
Lonely Boy: Paul Anka
A Big Hunk o' Love: Elvis Presley
Three Bells: The Browns
Sleep Walk: Santo and Johnny
Mack The Knife: Bobby Darin
Heartaches by the Number: Guy Mitchell
Why: Frankie Avalon