Audioclips in MP3 for the soundtrack of Heavenly Creatures are available from The Basterds Have Landed:

Heavenly Creatures - OST - 01 - The Princess of IIam.mp3
Heavenly Creatures - OST - 02 - Meet the Reipers.mp3
Heavenly Creatures - OST - 03 - Be My Love.mp3
Heavenly Creatures - OST - 04 - The Shrine.mp3
Heavenly Creatures - OST - 05 - Two Dutiful Daughters.mp3
Heavenly Creatures - OST - 06 - The Donkey Serenade.mp3
Heavenly Creatures - OST - 07 - The Fourth World.mp3
Heavenly Creatures - OST - 08 - Band Chests and Bone Diseases.mp3
Heavenly Creatures - OST - 09 - Funiculi, Funicula.mp3
Heavenly Creatures - OST - 10 - Life In Borovnia.mp3
Heavenly Creatures - OST - 11 - To Hollywood.mp3
Heavenly Creatures - OST - 12 - Divorce.mp3
Heavenly Creatures - OST - 13 - Pauline & Juliet.mp3
Heavenly Creatures - OST - 14 - E lucevan le stelle.mp3
Heavenly Creatures - OST - 15 - For The Good Of Your Health.mp3
Heavenly Creatures - OST - 16 - The most Hideous Man Alive.mp3
Heavenly Creatures - OST - 17 - Juliets Aria.mp3
Heavenly Creatures - OST - 18 - A Night With The Saints.mp3
Heavenly Creatures - OST - 19 - The Loveliest Night of the Year.mp3
Heavenly Creatures - OST - 20 - The Pursuit of Happiness.mp3
Heavenly Creatures - OST - 21 - The Humming Chorus.mp3
Heavenly Creatures - OST - 22 - You'll Never Walk Alone.mp3

And also partially on mirror-sites: