1. The Chirping Crickets - Coral 1957

Tracks:
1. Oh, Boy! / 2. Not Fade Away / 3. You've Got Love / 4. Maybe Baby / 5. It's Too Late / 6. Tell Me How / 7. That'll Be the Day / 8. I'm Looking for Someone to Love / 9. Empty Cup (And a Broken Date) / 10. Send Me Some Lovin' / 11. Last Night / 12. Rock Me My Baby / 13. Think It Over [*] / 14. Fool's Paradise [*] / 15. Lonesome Tears [*] / 16. It's So Easy [*]. [*] = Bonus-track
Rating : 7

2. Buddy Holly - Coral 1958

Tracks:
1. I'm Gonna Love You Too / 2. Peggy Sue / 3. Look at Me / 4. Listen to Me / 5. Valley of Tears / 6. Ready Teddy / 7. Everyday / 8. Mailman, Bring Me No More Blues / 9. Words of Love / 10. (You're So Square) Baby I Don't Care / 11. Rave On / 12. Little Baby / 13. Take Your Time [*] / 14. Now We're One [*] / 15. Early in the Morning [*]. [*] = Bonus-track
Rating : 8

3. Thatīll Be The Day - Decca 1958 (56)

Tracks:
1. You Are My One Desire / 2. Blue Days Black Nights / 3. Modern Don Juan / 4. Rock Around With Ollie Vee / 5. Ting A Ling / 6. Girl On My Mind / 7. That'll Be The Day / 8. Love Me / 9. I'm Changing All Those Changes / 10. Don't Come Back Knockin / 11. Midnight Shift / 12. Rock Around With Ollie Vee / 13. Changing All Those Changes
Rating : 5

4. Buddy Holly Story - Coral 1959

Tracks:
1. Itīs Raining in My Heart / 2. Early in the Morning / 3. Peggy Sue / 4. Maybe Baby / 5. Everyday / 6. Rave On / 7. Thatīll Be the Day / 8. Heartbeat / 9. Think it Over / 10. Oh Boy / 11. Itīs So Easy / 12. It Doesnīt Matter Anymore
Rating : 7

5. Buddy Holly Story Vol 2 - Coral 1960

Tracks:
1. Peggy Sue Got Married / 2. Well All Right / 3. What To Do / 4. That Makes it Tough / 5. Now Weīre One / 6. Take Your Time / 7. Crying, Waiting, Hoping / 8. True Love Ways / 9. Learning the Game / 10. Little Baby / 11. Moondreams / 12. Thatīs What They Say
Rating : 7

6. Reminiscing - Coral 1963

Tracks:
1. Reminiscing / 2. Slppin & Slidin / 3. Bo Diddley / 4. Wait Til The Sun Shines Nellie / 5. Baby Won't You Come Out Tonight / 6. Brown Eyed Handsome Man / 7. Because I Love You / 8. It's Not My Fault / 9. I'm Gonna Set My Foot Down / 10. Changing All Those Changes / 11. Rock A Bye Rock / 12. Come Back Baby (Bonus) / 13. Maybe Baby (Demo) / 14. Rock A Bye Rock (Undubbed / 15. It's Not My Fault (Undubbed ) / 16. Brown Eyed Handsome Man (Undubbed) / 17. Slippin & Slidin (Undubbed) / /18. Bo Diddley (Undubbed)
Rating : 8

7. Showcase - Coral 1964

Tracks:
1. Shake, Rattle & Roll / 2. Rock Around With Ollie Vee / 3. Honky Tonk / 4. I Guess I Was Just a Fool / 5. Ummm, Oh Yeah / 6. You're the One/ 7. Blue Suede Shoes / 8. Come Back Baby / 9. Rip It Up / 10. Love's Made a Fool of You / 11. Gone / 12. Girl on My Mind
Rating : 7

8. Holly in The Hills - Coral 1965

Tracks:
1. I Wanna Play House With You / 2. Door to My Heart / 3. Baby It's Love / 4. I Gambled My Heart / 5. Memories / 6. Wishing / 7. Down the Line / 8. Soft Place in My Heart / 9. Queen of the Ballroom / 10. Gotta Get You Near Me Blues / 11. Flower of My Heart / 12. You and I Are Through
Rating : 5

9. Giant - MCA 1969

Tracks:
1. Love Is Strange / 2. Good Rockin' Tonight / 3. Blue Monday / 4. Have You Ever Been Lonely (Have You Ever Been Blue) / 5. Slippin' and Slidin' / 6. You're the One / 7. (Ummm, Oh Yeah) Dearest / 8. Smokey Joe's Cafe / 9. Ain't Got No Home / 10. Holly Hop
Rating : 6

9. Not Fade Away: The Complete Studio Recordings and More - Hip-O Select 2009

Tracks:
I believe everything possible is included here.
Rating : 10