In 1960 there was the growing popularity of a wide ranging types of songs on records, radio, movies and television.
Just consider these different categories:
Broadway: Title song from CAMELOT (a favorite of
President John F. Kennedy)
Country & Western: "El Paso"
Easy Listening: "Beyond The Sea"
Novelty: "Mr. Custer"
Foreign: "Wooden Heart (Muss I Denn)" (German song sung by Elvis)
Americana: "Ballad of the
Alamo"
Movies: Theme From A SUMMER PLACE (One of the biggest-selling records of the '60s)
Nostalgia: "Are You Lonesome Tonight?" (song originally written in 1927)
Rhythm & Blues: "Money (That's What I Want)"
Rock n' Roll: "The Twist" (New dance craze popularized by Chubby Checker)
On a personal side, 1960 marks the 50th anniversary of my first song lyrics, written in high school, and some of them are included in my book titled, "Dream World" --
Songs, Poems and Stories.
Look at this list and see how many of these songs you know...
+Alley-Oop (Dallas Frazier) -- Hollywood Argyles
Angel Baby (Rose Hamlin) -- Rose and The Originals
+Are You Lonesome Tonight? (Roy Turk-Lou Handman,1927) --
Elvis Presley
Beyond The Sea (Jack Lawrence-Charles Trenet, 1947) -- Bobby Darin
Burning Bridges(Melvin Miller) -- Jack Scott
Camelot (Alan Jay Lerner-Frederick Loewe) -- Richard Burton
+Cathy's Clown (Don & Phil Everly) -- The Everly Brothers
Corrine, Corrina (J. Mayo Williams-Bo Chatman) -- Ray Peterson
Devil or Angel (Blanche Carter, 1955) -- Bobby Vee
+El Paso (Marty Robbins) -- Marty Robbins
+Everybody's Somebody's Fool (Howard Greenfield-Jack Keller) --
Connie Francis
Fame And Fortune (Fred Wise-Ben Weisman) -- Elvis Presley
+Georgia On My Mind (Stuart Gorrell-Hoagy Carmichael) -- Ray Charles
+Greenfields ( Terry Gilkyson,Rich Dehr,Frank Miller) -- The Brothers Four
Green Leaves Of Summer (Paul Francis Webster-Dimitri Tiomkin) --
The Brothers Four
Harbor Lights (Jimmy Kennedy-Hugh Williams,1937) -- The Platters
+He'll Have To Go (Joe Allison-Audrey Allison) -- Jim Reeves
+I'm Sorry (Ronnie Self-Dub Allbritton) -- Brenda Lee
+It's Now Or Never (Aarob Schroeder-Wally Gold - tune: "O Sole Mio") -- Elvis Presley
+Itsy Bitsy Teenie Weenie Yellow Polka Dot Bikini
(Paul Vance-Lee Pockriss) --Brian Hyland
+I Want To Be Wanted (Kim Gannon-Pino Spotti - tune: "Per Tutta la Vita") --
Brenda Lee
+Last Date (Floyd Cramer) -- Floyd Cramer
Lonely Weekends (Charlie Rich) -- Charlie Rich
Mama (Harold Barlow, Phil Brito-C.A. Bixio, 1946) --- Connie Francis
+Mister Custer (Fred Darian, AQl DeLory, Joseph Van Winkle) --
Larry Verne
Mr. Lucky (Henry Mancini) -- Henry Mancini
Money (That's What I Want)(Berry Gordy-Jamie Bradford) -- Barrett Strong
+My Heart Has A Mind Of Its Own (Howard Greenfield-Jack Keller) -- Connie Francis
Nice N' Easy (Marilyn & Alan Bergman-Lew Spence)-- Frank Sinatra
North To Alaska (Mike Phillips) -- Johnny Horton
Only The Lonely (Know The Way I Feel)(Roy Orbison-Joe Melson)--
Roy Orbison
Rubber Ball (Aaron Schroeder-Anne Orlowski) -- Bobby Vee
+Running Bear (J. P. Richardson) -- Johnny Preston
+Save The Last Dance For Me (Doc Pomus-Mort Shuman) -- The Drifters
So Sad (To Watch Good Love Go Bad) (Don Everly) -- The Everly Brothers
+Stay (Maurice Williams) -- Maurice Williams & The Zodiacs
+Stuck On You (Aaron Schoeder-J. Leslie McFarland) -- Elvis Presley
+Teen Angel ( Jean Surrey-Red Surrey) -- Mark Dinning
Tell Laura I Love Her(Jeff Barry-Ben Raleigh) -- Ray Peterson
+Theme From A SUMMER PLACE (Max Steiner) --
Percy Faith & His Orchestra
Theme From THE APARTMENT (Charles Williams) -- Ferrante and Teicher
Theme From THE UNFORGIVEN (Dimitri Tiomkin) -- Don Costa & His Orchestra
This Magic Moment
(Doc Pomus-Mort Shuman) -- The Drifters
+The Twist (Hank Ballard) -- Hank Ballard and Chubby Checker
Walking To New Orleans
(Antoine Domino) -- Fats Domino
(What A) Wonderful World (Barbara Campbell, Lou Adler, Herb Alpert) -- Sam Cooke
Where The Boys Are (Howard Greenfield-Neil Sedaka) -- Connie Francis
Wings Of A Dove (Bob Ferguson) -- Ferlin Husky
Wooden Heart (Muss I Denn)(Bert Kaempfert, Kay Twomey, Ben Wiseman, Fred Wise)
-- Elvis Presley (later hit by Joe Dowell, 1961)
You Talk Too Much (Joe Jones-Reginald Hall) -- Joe Jones
+ = from Billboard Top 1000 Singles, 1955-1996, compiled by Joel Whitburn
Singers with most recordings listed:
Elvis Presley = 5
Connie Francis =4
Brenda Lee = 2
The Drifters = 2
Bobby Vee = 2
The Everly Brothers = 2
No. 1 Songs from 1960

Arranged by number of weeks at No. 1 and alphaebtical titles for tied weeks
(according to The Billboard Book of Top 40 Hits by Joel Whitburn)
Theme From A SUMMER PLACE -- Percy Faith & His Orchestra (9 weeks)
Are You Lonesome Tonight -- Elvis Presley (6 weeks)
It's Now Or Never -- Elvis Presley (5 weeks)
Cathy's Clown -- The Everly Brothers (5 weeks)
Stuck On You -- Elvis Presley (4 weeks)
Save The Last Dance For Me -- The Drifters (3 weeks)
Running Bear -- Johnny Preston (3 weeks)
El Paso -- Marty Robbins (2 weeks)
Everybody's Somebody's Fool -- Connie Francis (2 weeks)
My Heart Has A Mind Of Its Own -- Connie Francis (2 weeks)
Teen Angel -- Mark Dinning (2 weeks)
Alley-Oop -- Hollywood Argyles (1 week)
Georgia On My Mind -- Ray Charles (1 week)
Itsy Bitsy Teenie Weenie Yellow Polkadot Bikini -- Brian Hyland (1 week)
I Want To Be Wanted -- Brenda Lee (1 week)
Mr. Custer -- Larry Verne (1 week)
Stay -- Maurice Williams & The Zodiacs (1 week)
The Twist -- Chubby Checker (1 week)