I've only seen 4 from that year so this list of noms/wins may look completely different in the future.
Best Picture Best Director - Ingmar Bergman Best Actor - Victor Sjostrom Best Supporting Actress - Ingrid Thulin Best Original Screenplay Best Foreign Language Film Best Original Score Best Sound Best Production Design Best Cinematography Best Film Editing
I prefer The Seventh Seal to Wild Strawberries. As they're both from the same year, the latter ends up with several noms but no wins:
Best Picture Best Director Best Actor in a Leading Role - Victor Sjöström Best Actor in a Suporting Role - Gunnar Björnstrand Best Actress in a Supporting Role - Bibi Andersson Best Actress in a Supporting Role - Ingrid Thulin Best Original Screenplay Best Cinematography Best Film Editing