This was tougher than I thought it would be. Several of the songs that came to mind, that I thought were 50's songs, turned out, when I looked them up, to be 60's songs. I had to go to Wikipedia and browse through their lists to refresh my memory.

I was 12 years old in 1959, so you can see why my list is slanted toward the late 50's. I have only bothered to list the ones I still like. I'd just as soon forget "How Much Is That Doggie in the Window," although I liked it well enough when I was 5.

Ain't That a Shame – Fats Domino – 1955
Battle of New Orleans – Johnny Horton – 1959
Be-Bop-a-Lula – Gene Vincent – 1956
Bird Dog – Everly Brothers – 1958
Blueberry Hill – Fats Domino – 1956
Chances Are – Johnny Mathis – 1957
Charlie Brown – The Coasters – 1959
Cherry Pink and Apple Blossom White – Perez Prado – 1955
El Paso – Marty Robbins - 1959
Get a Job – The Silhouettes – 1958
Great Balls of Fire – Jerry Lee Lewis – 1958
Happy Organ – Dave "Baby" Cortez - 1959
Heartbreak Hotel – Elvis Presley – 1956
Kansas City – Wilbert Harrison – 1959
Little Darlin' – The Diamonds – 1957
Love Potion Number Nine – The Clovers - 1959
Pink Shoe Laces – Dodie Stevens - 1959
Sleepwalk – Santo & Johnny – 1959
Stagger Lee – Lloyd Price – 1959
Teenager in Love – Dion & the Belmonts – 1959
Tequila – The Champs – 1958
White Sport Coat and a Pink Carnation – Marty Robbins - 1957
Witch Doctor – David Seville - 1958
Yakety Yak – The Coasters – 1958