Star Wars:

Won Academy Award for Best Art Direction
Won Academy Award for Best Costume Design
Won Academy Award for Best Film Editing*
Won Academy Award for Best Visual Effects*
Won Academy Award for Best Original Score
Won Academy Award for Best Sound*
Won Special Achievement Award for Sound Effects Editing*
Nominated for Academy Award for Best Actor in a Supporting Role (Alec Guinness)
Nominated for Academy Award for Best Original Screenplay (George Lucas)*
Nominated for Academy Award for Best Director (George Lucas)*
Nominated for Academy Award for Best Picture*

The Empire Strikes Back:

Won Special Achievement Award for Visual Effects*
Nominated for Academy Award for Best Music, Original Score+
Nominated for Academy Award for Best Art Direction - Set Decoration

Return of the Jedi:

Won Special Achievement Award for Visual Effects*
Nominated for Academy Award for Best Art Direction/Set Decoration
Nominated for Academy Award for Best Sound Effects Editing*
Nominated for Academy Award for Best Music, Original Score+
Nominated for Academy Award for Best Sound*

*Not available in this release.
+Mostly there