| Artist(s) | Category | Title |
| 1980 - 23rd Annual GRAMMY Awards |
| Floyd Cramer |
Best Country Instrumental Performance |
Dallas |
| Little Brother Montgomery, etc. |
Best Ethnic or Traditional Recording |
Rare Blues |
| Queen Ida |
Best Ethnic or Traditional Recording |
In New Orleans |
| 1981 - 24th Annual GRAMMY Awards |
| Sandy Pinkard |
Best Country Song |
You're the Reason God Made Oklahoma |
| Lonnie Brooks, etc. |
Best Ethnic or Traditional Recording |
Blues Deluxe |
| Mighty Joe Young, etc. |
Best Ethnic or Traditional Recording |
Blues Deluxe |
| 1982 - 25th Annual GRAMMY Awards |
| Wynton Marsalis |
Best Jazz Instrumental Performance, Soloist |
Wynton Marsalis |
| Clarence "Gatemouth" Brown [w] |
Best Traditional Blues Recording |
Alright Again! |
| Queen Ida [w] |
Best Ethnic or Traditional Folk Recording |
On Tour |
| 1983 - 26th Annual GRAMMY Awards |
| Wynton Marsalis [w] |
Best Jazz Instrumental Performance, Soloist |
Think of One |
| Wynton Marsalis |
Best Jazz Instrumental Performance, Group |
Think of One |
| Clarence "Gatemouth" Brown |
Best Traditional Blues Recording |
One More Mile |
| Clifton Chenier [w] |
Best Ethnic or Traditional Folk Recording |
I'm Here |
| Wynton Marsalis [w] |
Best Classical Performance, Soloist (w/ Orchestra) |
Haydn: Trumpet Concerto In E Flat |
| ** |
Best Historical Album |
Kings of New Orleans Jazz |
| 1984 - 27th Annual GRAMMY Awards |
| Wynton Marsalis [w] |
Best Jazz Instrumental Performance, Soloist |
Hot House Flowers |
| Hank Williams, Jr. |
Best Country Song |
All My Rowdy Friends ... |
| Hank Williams, Jr. |
Best Country Vocal Performance, Male |
All My Rowdy Friends ... |
| Rockin' Dopsie |
Best Ethnic or Traditional Folk Recording |
Good Rockin' |
| Queen Ida |
Best Ethnic or Traditional Folk Recording |
On A Saturday Night |
| Buckwheat Zydeco |
Best Ethnic or Traditional Folk Recording |
100% Fortified Zydeco |
| Wynton Marsalis |
Best Instrumental Composition |
Hot House Flowers |
| 1985 - 28th Annual GRAMMY Awards |
| Wynton Marsalis [w] |
Best Jazz Instrumental Performance, Soloist |
Black Codes (From the Underground) |
| Wynton Marsalis [w] |
Best Jazz Instrumental Performance, Group |
Black Codes (From the Underground) |
| Rockin' Sidney [w] |
Best Ethnic or Traditional Folk Recording |
My Toot Toot |
| Clifton Chenier |
Best Ethnic or Traditional Folk Recording |
Live! ... |
| Dewey Balfa |
Best Ethnic or Traditional Folk Recording |
Souvenirs |
| Buckwheat Zydeco |
Best Ethnic or Traditional Folk Recording |
Turning Point |
| BeauSoleil |
Best Ethnic or Traditional Folk Recording |
Zydeco Gris Gris |
| 1986 - 29th Annual GRAMMY Awards |
| Branford Marsalis |
Best Jazz Instrumental Performance, Soloist |
Royal Garden Blues |
| Wynton Marsalis |
Best Jazz Instrumental Performance, Soloist |
Insane Asylum |
| Wynton Marsalis [w] |
Best Jazz Instrumental Performance, Group |
J Mood |
| Hank Williams, Jr. |
Best Country Vocal Performance, Male |
Ain't Misbehavin' |
| Jerry Lee Lewis, etc. |
Best Country Performance, Duo or Group |
Class of '55 |
| Queen Ida |
Best Traditional Folk Recording |
Caught In The Act |
| Rockin' Sidney |
Best Traditional Folk Recording |
Hot Steppin' |
| Buckwheat Zydeco |
Best Traditional Folk Recording |
Waitin' For My Ya-Ya |
| Johnny Copeland, etc. [w] |
Best Traditional Blues Recording |
Showdown! |
| Clarence "Gatemouth" Brown |
Best Traditional Blues Recording |
Pressure Cooker |
| Wynton Marsalis |
Best Instrumental Composition |
J Mood |
| Wynton Marsalis |
Best Classical Performance, Instrumental Soloist |
Tomasi: Concerto For Trumpet & Orchestra |
| Jerry Lee Lewis, etc. [w] |
Best Spoken Word or Nonmusical Recording |
Interviews From Class Of '55 Sessions |
| 1987 - 30th Annual GRAMMY Awards |
| Branford Marsalis |
Best Jazz Instrumental Performance, Soloist |
Cotton Tail |
| Wynton Marsalis |
Best Jazz Instrumental Performance, Soloist |
Standard Time, Vol. 1 |
| Wynton Marsalis [w] |
Best Jazz Instrumental Performance, Group |
Standard Time, Vol. 1 |
| Hank Williams, Jr. |
Best Country Vocal Performance, Male |
Born To Boogie |
| Michael Doucet & BeauSoleil |
Best Traditional Folk Recording |
Belizaire The Cajun |
| Professor Longhair |
Best Traditional Blues Recording |
House Party New Orleans Style |
| Earl King |
Best Contemporary Blues Recording |
Glazed |
| Buckwheat Zydeco |
Best Contemporary Blues Recording |
On A Night Like This |
| Wynton Marsalis |
Best Classical Performance, Instr. Soloist w/ Orch. |
Carnaval |
| 1988 - 31st Annual GRAMMY Awards |
| Branford Marsalis |
Best Jazz Instrumental Performance, Soloist |
Random Abstract |
| Wynton Marsalis |
Best Jazz Instrumental Performance, Soloist |
Live At Blues Alley |
| Branford Marsalis Quartet |
Best Jazz Instrumental Performance, Group |
Random Abstract |
| Wynton Marsalis Quartet |
Best Jazz Instrumental Performance, Group |
Live At Blues Alley |
| Illinois Jacquet & His Big Band |
Best Jazz Instrumental Performance, Big Band |
Jacquet's Got It! |
| Johnny Copeland |
Best Traditional Blues Recording |
Ain't Nothin' But A Party |
| Rockin' Dopsie |
Best Traditional Blues Recording |
Saturday Night Zydeco |
| Guitar Slim, Jr. |
Best Traditional Blues Recording |
The Story Of My Life |
| Wynton Marsalis |
Best Classical Performance, Instr. Soloist w/ Orch. |
Baroque Music For Trumpets |
| 1989 - 32nd Annual GRAMMY Awards |
| Aaron Neville & L. Ronstadt [w] |
Best Pop Vocal Performance, Duo or Group |
Don't Know Much |
| Neville Brothers [w] |
Best Pop Instrumental Performance |
Healing Chant |
| Harry Connick, Jr. [w] |
Best Jazz Vocal Performance, Male |
When Harry Met Sally |
| Dr. John |
Best Jazz Vocal Performance, Male |
In A Sentimental Mood |
| Dr. John & Rickie Lee Jones [w] |
Best Jazz Vocal Performance, Duo or Group |
Makin' Whoopee! |
| Wynton Marsalis |
Best Jazz Instrumental Performance, Soloist |
The Majesty of the Blues |
| Branford Marsalis |
Best Jazz Instrumental Performance, Group |
Trio Jeepy |
| Wynton Marsalis |
Best Jazz Instrumental Performance, Group |
The Majesty of the Blues |
| Hank Williams, Jr. & Sr. [w] |
Best Country Vocal Collaboration |
There's A Tear In My Beer |
| Cajun Tradition |
Best Traditional Folk Recording |
A La Veille Facon |
| BeauSoleil |
Best Contemporary Folk Recording |
Bayou Cadillac |
| Hank Williams, Jr. & Sr. |
Best Music Video, Short Form |
There's A Tear In My Beer |