PLAYBACK.FM (Website) TOP SINGLES FOR 1955* 

https://www.youtube.com/watch?time_continue=1&v=ZgdufzXvjqw

https://playback.fm/year/1955

No. Song-Artist-Peak Month
  1 ROCK AROUND THE CLOCK-BILL HALEY & THE COMETS-JULY
  2 SIXTEEN TONS-TENNESSEE ERNIE FORD-December
  3 CHERRY PINK & APPLE BLOSSOM WHITE-PEREZ PRADO-June
  4 ONLY YOU (AND YOU ALONE)-PLATTERS-November 
  5 LOVE IS A MANY SPLENDORED THING-FOUR ACES-November
  6 UNCHAINED MELODY-AL HIBBLER-June
  7 TUTTI FRUTTI-LITTLE RICHARD-December
  8 LEARNIN' THE BLUES-Frank Sinatra-July
  9 YELLOW ROSE OF TEXAS-Mitch Miller-September
 10 MR. SANDMAN-Four Aces-January
 11 Love And Marriage-Frank Sinatra-December
 12 Maybellene-Chuck Berry-August
 13 Unchained Melody-Les Baxter-June
 14 Stranger In Paradise-Four Aces-May
 15 Rose Marie-Slim Whitman-January
 16 Ain't That A Shame-Fats Domino-August
 17 Melody Of Love-Billy Vaughn-February
 18 Ballad Of Davy Crockett-Bill Hayes-April
 19 Let Me Go Lover-Joan Weber-January
 20 A Blossom Fell-Nat King Cole-July
 21 Ballad Of Davy Crockett-Tennessee Ernie Ford-April
 22 Bo Diddley-Bo Diddley-June
 23 Autumn Leaves (Les Feuilles Mortes)-Roger Williams-November
 24 Cry Me A River-Julie London-December
 25 Let Me Go Lover-Teresa Brewer-January
 26 Manish Boy-Muddy Waters-July	
 27 Melody Of Love-Four Aces-February
 28 Hearts Of Stone-Fontane Sisters-January
 29 Darling Je Vous Aime Beaucoup-Nat 'King' Cole-May
 30 Softly Softly-Ruby Murray-March
 31 Yellow Rose Of Texas-Johnny Desmond-September
 32 Ain't That A Shame-Pat Boone-August
 33 Sincerely-McGuire Sisters-February
 34 Tina Marie-Perry Como-October
 35 Cool Water-Frankie Laine-December
 36 Tweedle Dee-Georgia Gibbs-March
 37 Ballad Of Davy Crockett-Fess Parker-May
 38 Cherry Pink & Apple Blossom White-Eddie Calvert-August
 39 He-Al Hibbler-Decca-December
 40 L'Homme et L'Enfant (The Little Boy and the Old Man)-Eddie and Tania Constantine-July
 41 Les Lavandieres Du Portugal-Jacqueline Francois-July	
 42 I Hear You Knocking-Gale Storm-December
 43 Mambo Rock-Bill Haley & His Comets-March
 44 A Woman In Love-Four Aces-December 
 45 Earth Angel-Crew Cuts-Mercury-March 
 46 April In Paris-Ella Fitzgerald & Count Basie Orchestra-February
 47 Speedoo-Cadillacs-December
 48 Moments To Remember-Four Lads-December
 49 Dance With Me Henry(Wallflower)-Georgia Gibbs-May
 50 Give Me Your Word-Tennessee Ernie Ford-March	
 51 The Naughty Lady Shady Lane-Dean Martin-May
 52 Unchained Melody-Jimmy Young-July
 53 Dreamboat-Alma Cogan-July
 54 The Man From Laramie-Jimmy Young-October
 55 Pledging My Love-Johnny Ace-March
 56 Seventeen-Boyd Bennett & His Rockets-August
 57 Seventeen-Fontane Sisters-September
 58 Ko Ko Mo (I Love You So)-Perry Como-February 
 59 I'm A Man-Bo Diddley-June
 60 Shifting Whispering Sands-Rusty Draper-October
 61 Ganz Paris traumt von der Liebe (I Love Paris)-Caterina Valente-July	
 62 Eventuell-Peter Alexander & Caterina Valente-July	
 63 Same Old Saturday Night-Frank Sinatra-October
 64 Sincerely-The Moonglows-February
 65 When You Dance-The Turbans-December
 66 Blue Star (The Medic Theme)-Cyril Stapleton Orchestra-November	
 67 At My Front Door (Crazy Little Mama)-The El Dorados-November 		
 68 Christmas Alphabet-Dickie Valentine-December
 69 Rock-A-Beatin' Boogie-Bill Haley & His Comets-December		
 70 Der Mond Halt Seine Wacht-Peter Alexander	
 71 Hey Mr.Banjo-Silvio Francesco-October
 72 O Wat Zijde Gij Schoon-Tony Bell-July	
 73 Ave Maria No Morro-Claude Robin-July	
 74 Reckless-Bob London-July	
 75 Johnny's Potpourri-Johnny Jordaan-July	
 76 Lola-Bob London-July	
 77 Geef Mij Maar Amsterdam-Johnny Jordaan-July	
 78 Charel-Tony Bell-July	
 79 Cafe Socaite-Jorge Veiga-July	
 80 Die Gipsy-Band-Bibi Johns-July	
 81 Scapricciatiello-Aurelio Fierro-July	
 82 Jordaanwals-Johnny Jordaan-July	
 83 Jim,Johnny & Jonas-Hula Hawaiian Orchestra-July	
 84 Ko Ko Mo (I Love You So)-Crew Cuts-February
 85 Mystery Train-Elvis Presley-July
 86 (Love Is) The Tender Trap-Frank Sinatra-December
 87 Unchained Melody-Roy Hamilton-Epic-May 
 88 Dungaree Doll-Eddie Fisher-December
 89 Shifting Whispering Sands-Billy Vaughn-October
 90 Hard To Get-Gisele MacKenzie-August
 91 Everywhere-Dave Whitfield-September
 92 Suddenly There Is A Valley-Jo Stafford-November
 93 Razzle Dazzle-Bill Haley and His Comets-October
 94 Hummingbird-Frankie Laine-August
 95 That Old Black Magic-Sammy Davis,Jr.-July
 96 Only You (And You Alone)-Hilltoppers-November 
 97 Chee Chee Oo Chee(Sang The Little Bird)-Perry Como & J.P. Morgan-RCA-July  
 98 Tweedle Dee-LaVern Baker-March
 99 I'll Never Stop Loving You-Doris Day-August
100 Strange Lady In Town-Frankie Laine-August

 *This list was compiled with charts from various 
western industrialized  nations (primarily the USA,UK and Australia).