Off the top of my head, here're a few, but I'll add more as & when they occur to me:
(Unless otherwise stated, I'm referring to individual tracks, not whole albums)
Alison Krauss - Empty Hearts, Ghost in this House, Oh Atlanta, I Will, Deeper Than Crying, I Can Let Go Now, It Doesn't Matter, Find My Way Back to My Heart, Looking in the Eyes of Love, There is a Reason
Alison Moyet - This House, Only You, Invisible
Amp Fiddler - I Believe in You
Amy Winehouse - Help Yourself
Angie Stone - My Lovin' Will Give You Something
Anita Baker - You Bring me Joy
Art Garfunkel - I Shall Sing, Bright Eyes
Axiom Funk (feat. Bootsy Collins) - If 6 was 9
Basia - Time & Tide
B.B. King (feat. Gary Moore) - Thrill is Gone
Beatles - Yesterday
Beverley Craven - Promise Me
Blackeyed Peas - Shutup Shutup
Blondie - Heart of Glass
Bobby McFerrin - Don't Worry Be Happy
Bonnie Raitt - Too Soon to tell
Bruce Springsteen - Across The Border, Dry Lightning, Philadelphia,
Bryan Ferry - I Put a Spell On You, Miss Otis Regrets,
Buddy Holly - True Love Ways
Carol Kidd - Georgia on my mind
Carpenters - Won't Last a Day Without You
Chet Atkins & Mark Knopfler - There'll Be Some Changes Made
Chris Rea - Auberge (album)
Claire Martin - I Was Telling Him About You
Clannad - In A Lifetime
Climax Chicago Blues Band - So Many Roads
Colin James - Better Days
Commodores - Night Shift
Cowboy Junkies - Misguided Angel
Cranberries - Does Anyone Care?
Crowded House - Whispers & Moans
Culture Club - Everything I Own
D'Angelo - Brown Sugar (Live recording from 'Later...with Jools Holland')
Damien Rice - The Blower's Daughter
Dar Williams - Mark Rothko Song
Dave Stewart - Lily Was Here (soundtrack album)
David Gray - Say Hello Wave Goodbye, Sail Away
Del Amitri - It Might As Well Be You
Delores Keane - Never Be The Sun
Diana Krall - LIVE in Paris (album), All For You: A Tribute to the Nat King Cole Trio (album)
Dire Straits - Iron Hand, You & Your Friend
Dr. John - Don't Mean a Thing
Eddi Reader - My Old Friend The Blues
Edie Brickell - Another Woman's Dream, Good Times
Eleanor McEvoy - Only a Woman's Heart
Emmylou Harris - Goodbye
Enya - Storms in Africa
Eric Clapton - Old Love (Unplugged), Give me Strength
Erykah Badu - Otherside of the Game, plus her Live stuff
Eva Cassidy - Live at Blues Alley (album)
Everything But The Girl - I don't wanna talk about it
Fairground Attraction - First of a Million Kisses (superbly-recorded album)
Fourplay - Why Can't it Wait 'til Morning?, Elexir
Francis Black - intuition
Gil Scott-Heron - Blue Collar
Giles Peterson - Presents The BBC Sessions Vol.1 (album)
Hil St. Soul - Until You Come Back to me
Indigo Girls - many very well-recorded tracks in their back catalogue
INXS - Need You Tonight
James Taylor - Hourglass (album)
Jane Monheit - A Case of You, Somewhere over the Rainbow
Janis Ian - Welcome to Acousticville
Jeff Buckley - Hallelujah, Je N'en Connais Pas La Fin,
Jennifer Warnes - bird on a wire, Joan of Arc
Joan Baez - diamonds & rust, strange rivers
John Barry - Dances with Wolves
John Lee Hooker - My dream
John Martyn - Glory Box
John Mayer - gravity
Kate Bush - This Woman's Work, Moments of Pleasure
Kathy Mattea - A Few Good Things Remain
KD Lang - Wash Me Clean, Miss Chatelaine, Crying (feat Roy Orbison),
Lilith Fair - Water is wide
Linda Ronstadt & Aaron Neville - Don't know much
Lou Reed - Perfect Day, Wild Side
Louis Armstrong - Wonderful World
Lucky Peterson - Purple Rain
Lurrie Bell - Smokin' Dynamite - not audiophile but very engaging performance
Luther Vandross - a house is not a home
Mari Wilson - Let There Be Love, No Moon at All
Mariah Carey - Everything Fades Away, Any Time You Need a Friend,
Maroon 5 - This Love (Live Acoustic version)
Martin Taylor - Johnny & Mary
Mary Black - moon & st. christopher, A Woman's Heart, If I gave my heart to you, dimming of the day
Mary Chapin Carpenter - I am a town, one cool remove, when she's gone, only a dream,
Mary Mary - Praise You (shackles)
Massive Attack - Protection
Maura O'Connell - Love to Learn (glorious relaxed but ample bass...just gorgeous), Western Highway (great harmonies from Nanci Griffith on this) + many others (great SQ)
Maxwell - UNPLUGGED
Morcheeba - Who Can You Trust?
Minnie Ripperton - Lovin' you
Nanci Griffith - san diego serenade, five & dime, one blade shy,
Natalie Merchant - Live in NYC (album)
Nat King Cole - Let There Be Love
Neil Young (UNPLUGGED) - unknown legend, long may you run
Ocean Colour Scene - (acoustic album called B-sides, Seasides & Free rides)
Paul Simon - Homeless, African Skies
Peter Gabriel - blood of eden, don't give up, mercy street,
Pretenders - Hymn to Her
Prince - Nothing Compares to You (live feat. Rosie Gaines)
Queen - Is This the World That We Created?
Radiohead - no surprises
Rickie Lee Jones - Live album.
Right Said Fred - Deeply Dippy
Robben Ford - Top of the Hill
Robbie Robertson - Somewhere Down That Crazy River
Rod Stewart - I Was Only Joking
Rosey - Love
Sade - Pearls (gorgeous bass line)
Shawn Colvin - You're Gonna Make Me Lonesome When You Go, Killing The Blues (both are live recordings from the album 'Cover Girl')
Simple Minds - woman, banging on the door (inc. instrumental bridge), two worlds collide
Simply Red - Model, every time we say goodbye, Angel (live), how could I fall,
Stacey Kent - it never entered my mind, violets for my furs, you are there,
Sting - almost any of his stuff, but particularly his album 'Ten Summoner's Tales'
Sublime - Rivers of Babylon
Terrell - The Toystore
Vangelis - Bladerunner (album)
Van Morrison - Enlightenment, and also many of his other tracks from recent decades
Willie Nelson - Mona Lisa (fabulous recording)
Yello - The Race