| Song | Single | Extended Play | Album |
| Hands Off | Home Recordings | ||
| Happy Ending | It Happened At The World's Fair Mahalo From Elvis Double Features: It Happened At The World's Fair - Fun In Acapulco |
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| Harbor Lights | Legendary Performer Volume 2 Golden Celebration Sun Sessions CD / Complete Sun Sessions Complete 50's Masters Time-Life Collection - Volume 10 - Treasures 1953-1958 Sunrise Today, Tomorrow & Forever |
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| Hard Headed Woman | (US) RCA 47-7280 | Touch Of Gold Vol 1 | King Creole Worldwide 50 Gold Award Hits Volume 1 Elvis Medley Number One Hits Top Ten Hits Complete 50's Masters Time-Life Collection - Volume 2 - Rock 'n Roll Artist Of The Century 30 #1 Hits Hitstory |
| Hard Knocks | Roustabout Double Features: Viva Las Vegas (Love In Las Vegas) - Roustabout Time-Life Collection - Volume 12 - Treasures 1964-1969 |
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| Hard Luck | Frankie and Johnny Frankie and Johnny Double Features: Frankie And Johnny - Paradise Hawaiian Style |
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| Harem Holiday | Harum Scarum Double Features: Harum Scarum (Harem Holiday) - Girl Happy Essential 60's Masters II Time-Life Collection - Volume 14 - Fun At The Movies |
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| Have A Happy | Let's Be Friends Elvis Sings For Children and Grownups Too Double Features: Live A Little, Love A Little - Charro - Trouble With Girls - Change Of Habit |
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| Have I Told You Lately That I Love You | Just For You | Loving You From Elvis With Love Essential Elvis Volume 2 - Stereo '57 Complete 50's Masters Time-Life Collection - Volume 4 - Country Close-Up |
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| Hawaiian Sunset | Blue Hawaii Blue Hawaii (Expanded) Close-Up |
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| Hawaiian Wedding Song | Blue Hawaii Elvis In Concert Mahalo From Elvis Alternate Aloha Essential 60's Masters II Blue Hawaii (Expanded) Aloha From Hawaii Via Satellite (25th Anniversary Edition) Time-Life Collection - Volume 7 - The Romantic Elvis 50 Greatest Love Songs Elvis By The Presleys |
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| He | FTD - In A Private Moment | ||
| He Is My Everything | He Touched Me He Walks Beside Me Amazing Grace Time-Life Collection - Volume 9 - Gospel |
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| He Knows Just What I Need | His Hand In Mine Amazing Grace Time-Life Collection - Volume 9 - Gospel |
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| He Touched Me | (US) RCA 74-0651 | He Touched Me Amazing Grace Platinum - A Life In Music Time-Life Collection - Volume 9 - Gospel |
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| Heart Of Rome | (US) RCA 47-9998 | Love Letters From Elvis Essential 70's Masters |
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| Heartbreak Hotel | (US) RCA 47-6420 (US) RCA 64475-2 |
Heartbreak Hotel | Elvis Golden Records Volume 1 Elvis NBC TV Special Worldwide 50 Gold Award Hits Volume 1 Elvis As Recorded At Madison Square Garden Legendary Performer Volume 1 Elvis Aron Presley This Is Elvis Elvis Medley Golden Celebration Number One Hits Top Ten Hits Great Performances Collectors Gold Complete 50's Masters Essential 70's Masters Elvis 56 Afternoon In The Garden Platinum - A Life In Music Time-Life Collection - Volume 2 - Rock 'n Roll Memories - The '68 Comeback Special Artist Of The Century Today, Tomorrow & Forever 30 #1 Hits Close-Up Elvis By The Presleys Hitstory Essential Elvis Presley |
| Hearts Of Stone | Sunrise | ||
| He'll Have To Go | Moody Blue Essential 70's Masters Time-Life Collection - Volume 4 - Country |
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| Help Me | (US) RCA APBO 0280 | Recorded Live On Stage In Memphis Promised Land Amazing Grace |
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| Help Me Make It Through The Night | Elvis Now Welcome To My World Time-Life Collection - Volume 1 - Love Songs |
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| Here Comes Santa Claus (Right Down Santa Claus Lane) | Christmas With Elvis | Elvis Christmas Album Elvis Christmas Album (Camden) Complete 50's Masters Time-Life Collection - Volume 15 - Christmas |
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| He's Your Uncle, Not Your Dad | Speedway Double Features: Easy Come, Easy Go - Speedway |
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| Hey, Hey, Hey | Clambake Double Features: Kissin' Cousins - Clambake - Stay Away Joe |
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| Hey Jude | Elvis Now Essential 60's Masters I Suspicious Minds: The Memphis 1969 Anthology |
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| Hey Little Girl | Harum Scarum Double Features: Harum Scarum (Harem Holiday) - Girl Happy Time-Life Collection - Volume 12 - Treasures 1964-1969 |
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| Hide Thou Me | Today, Tomorrow & Forever | ||
| Hi-Heel Sneakers | (US) RCA 47-9425 | Elvis Aron Presley Reconsider Baby Essential 60's Masters I Time-Life Collection - Volume 2 - Rock 'n Roll Tomorrow Is A Long Time |
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| His Hand In Mine | (US) RCA 74-0130 | His Hand In Mine Amazing Grace Platinum - A Life In Music Time-Life Collection - Volume 9 - Gospel |
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| His Latest Flame | (US) RCA 47-7908 | Elvis Golden Records Volume 3 Other Sides - Worldwide Gold Award Hits Volume 2 This Is Elvis Return Of The Rocker Top Ten Hits Essential 60's Masters I Time-Life Collection - Volume 2 - Rock 'n Roll Artist Of The Century 30 #1 Hits Close-Up Hitstory |
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| Holly Leaves and Christmas Trees | Elvis Sings The Wonderful World Of Christmas Time-Life Collection - Volume 15 - Christmas |
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| Home Is Where The Heart Is | Kid Galahad | I Got Lucky Double Features: Kid Galahad - Girls Girls Girls Time-Life Collection - Volume 3 - Movie Magic |
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| Hot Dog | Loving You Volume 2 | Loving You Other Sides - Worldwide Gold Award Hits Volume 2 Essential Elvis Volume 1 - First Movies Complete 50's Masters Time-Life Collection - Volume 6 - The Rocker |
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| Hound Dog | (US) RCA 47-6604 (US) RCA PB 13875 |
Real Elvis | Elvis Golden Records Volume 1 Elvis NBC TV Special From Memphis To Vegas - From Vegas To Memphis Worldwide 50 Gold Award Hits Volume 1 In Person At The International Hotel Las Vegas Elvis As Recorded At Madison Square Garden Aloha From Hawaii Via Satellite Recorded Live On Stage In Memphis Elvis In Concert Legendary Performer Volume 3 Elvis Aron Presley This Is Elvis Elvis Medley Golden Celebration Rocker Number One Hits Top Ten Hits Alternate Aloha Complete 50's Masters Elvis 56 Afternoon In The Garden Platinum - A Life In Music Time-Life Collection - Volume 2 - Rock 'n Roll Aloha From Hawaii Via Satellite (25th Anniversary Edition) Memories - The '68 Comeback Special Artist Of The Century Burning Love Today, Tomorrow & Forever 30 #1 Hits Close-Up Hitstory Essential Elvis Presley |
| House Of Sand | Paradise Hawaiian Style Double Features: Frankie And Johnny - Paradise Hawaiian Style |
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| House That Has Everything | Clambake Double Features: Kissin' Cousins - Clambake - Stay Away Joe |
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| How Can You Lose What You Never Had | Clambake Collectors Gold Double Features: Kissin' Cousins - Clambake - Stay Away Joe |
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| How Do You Think I Feel | Strictly Elvis | Elvis Complete 50's Masters Time-Life Collection - Volume 10 - Treasures 1953-1958 |
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| How Great Thou Art | (US) RCA 74-0130 | How Great Thou Art Recorded Live On Stage In Memphis Legendary Performer Volume 2 Elvis In Concert He Walks Beside Me Elvis Aron Presley Amazing Grace Platinum - A Life In Music Time-Life Collection - Volume 9 - Gospel Close-Up |
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| How The Web Was Woven | That's The Way It Is Essential 70's Masters Time-Life Collection - Volume 13 - Treasures 1970-1976 |
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| How Would You Like To Be | (US) RCA 47-8950 | It Happened At The World's Fair Elvis Sings Hits From His Movies Volume 1 Elvis Sings For Children and Grownups Too Double Features: It Happened At The World's Fair - Fun In Acapulco |
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| How's The World Treating You | Strictly Elvis | Elvis Complete 50's Masters Time-Life Collection - Volume 10 - Treasures 1953-1958 |
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| Hundred Years From Now | Essential 70's Masters Essential Elvis Volume 4 - Hundred Years From Now Time-Life Collection - Volume 13 - Treasures 1970-1976 |
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| Hurt | (US) RCA PB 10601 | From Elvis Presley Boulevard Memphis Tennessee Elvis In Concert Always On My Mind Essential 70's Masters Platinum - A Life In Music Time-Life Collection - Volume 5 - From The Heart Today, Tomorrow & Forever Essential Elvis Presley |
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