We don't even bother to mention Lord of the Rings do we? heh..
Thought I'd mention which books by those authors because it's not necessarilly all books, just like all of David Eddings books weren't as good as The Belgariad. In the order below I'd recommend these and you decide if you want to keep reading the author. Just because he/she/they wrote 1 or 3 or 8 excellent books doesn't mean everything they wrote was of the same quality. This isn't all they wrote that was good, just the best sample, in my opinion. Most like Eddings:
Raymond E Feist - Riftwar Saga
1. Magician: Apprentice (1982)
2. Magician: Master (1982)
--- (Apprentice and Master are also found published together as "Magician")
3. Silverthorn (1985)
4. A Darkness at Sethanon (1985)
Tad Williams
Memory, Sorrow and Thorn
1. The Dragonbone Chair (1988)
2. The Stone of Farewell (1990)
3. To Green Angel Tower (1993)
Margaret Weis & Tracy Hickman
Dragonlance Chronicles
1. Dragons of Autumn Twilight (1984)
2. Dragons of Winter Night (1985)
3. Dragons of Spring Dawning (1985)
Their Dragonlance Legends trilogy, 7 book Deathgate Cycle, original Darksword trilogy and original Rose of the Prophet trilogy are also very good.
Susan Dexter - Winter King's War
1. The Ring of Allaire (1981)
2. The Sword of Calandra (1985)
3. The Mountains of Channadran (1986)
Robert Jordan - Wheel of Time
all of it, some have various reasons to not like it but I do.
Dave Duncan - Man of His Word
1. Magic Casement (1990)
2. Faery Lands Forlorn (1991)
3. Perilous Seas (1991)
4. Emperor and Clown (1991)
Duncan's Seventh Sword trilogy is classic and probably his best work but it's not exactly the same type story as The Belgariad.
1. The Reluctant Swordsman (1988)
2. The Coming of Wisdom (1988)
3. The Destiny of the Sword (1988)
Dennis McKiernan
The Iron Tower
1. The Dark Tide (1984)
2. Shadows of Doom (1984)
3. The Darkest Day (1984)
Dennis McKiernan
The Silver Call
1. Trek to Kraggen-Cor (1986)
2. The Brega Path (1986)
Terry Brooks - Shannara
1. The Sword of Shannara (1977)
I like this

I liked the 2nd and 3rd ones too. Lots of people razz it because it "copies" LotR but I think that's because it was just the first and closest of many that did. So what? I was hungering for anything like LotR after reading it. Besides being a great story, it was the first fantasy novel to ever make the NY Times Bestselling List and is therefore somewhat responsible for a lot of writers writing fantasy. At least the ones that wanted money.
Patricia McKillip
Quest of the Riddle-Master
1. The Riddle-Master of Hed (1976)
2. Heir of Sea and Fire (1977)
3. Harpist in the Wind (1979)
Angus Wells
Godwars
1. Forbidden Magic (1991)
2. Dark Magic (1992)
3. Wild Magic (1993)
James Watt-Evans
Lords of Dus
1. The Lure of the Basilisk (1980)
2. The Seven Altars of Dusarra (1981)
3. The Sword of Bheleu (1982)
4. The Book of Silence (1983)
Ethshar
1. The Misenchanted Sword (1985)
2. With a Single Spell (1987)
3. The Unwilling Warlord (1989)
Jennifer Roberson
Sword-Dancer
1. Sword-Dancer (1986)
2. Sword-Singer (1988)
3. Sword-Maker (1989)
4. Sword Breaker (1991)
Elizabeth Moon
Deed of Paksenarrion
1. The Sheepfarmer's Daughter (1988)
2. Divided Allegiance (1988)
3. Oath of Gold (1988)
Terry Goodkind - Sword of Truth
1. Wizard's First Rule (1994)
2. Stone of Tears (1995)
3. Blood of the Fold (1996)
Continue if you like, they're mostly good but I think he hit his peak in book 2 or 3 and the violence in torture and sex got a little too graphic for my taste.
R A Salvatore
Icewind Dale trilogy
1. The Crystal Shard (1988)
2. Streams of Silver (1989)
3. The Halfling's Gem (1990)
Dark Elf trilogy
1. Homeland (1990)
2. Exile (1990)
3. Sojourn (1991)
George R R Martin (same kinda thing, a little darker)
Song of Ice and Fire
1. A Game of Thrones (1996)
2. A Clash of Kings (1998)
3. A Storm of Swords (2000)
4. A Feast for Crows (2005)
5. A Dance with Dragons (2008)
Christopher Paolini
1. Eragon
2. Eldest
and something else.
Edit - eh, nevermind Paolini on further thought.
Mark Anthony
Escape From Undermountain
Kate Elliott
Crown of Stars
1. King's Dragon (1997)
2. Prince of Dogs (1997)
3. The Burning Stone (1998)
4. Child of Flame (2000)
5. The Gathering Storm (2003)
6. In the Ruins (2005)
7. Crown of Stars (2006)
Scott Ciencin and Troy Denning (both using the name Richard Awlinson)
Avatar Trilogy
1. Shadowdale
2. Tantras
3. Waterdeep
Don Callander
Mancer
1. Pyromancer (1992)
2. Aquamancer (1992)
3. Geomancer (1994)
4. Aeromancer (1997)
Douglas Niles
Moonshae trilogy
1. Darkwalker on Moonshae (1987) (1st ever Forgotten Realms novel)
2. Black Wizards (1988)
3. Darkwell (1989)
Kate Novak & Jeff Grubb
Finder's Stone trilogy
1. Azure Bonds (1988)
2. The Wyvern's Spur (1990)
3. Song of the Saurials (1991)
Elizabeth Haydon
Symphony of Ages
1. Rhapsody: Child of Blood (1999)
2. Prophecy: Child of Earth (2000)
3. Destiny: Child of the Sky (2001)
Ursula Le Guin
Earthsea
1. A Wizard of Earthsea (1968)
2. The Tombs of Atuan (1970)
3. The Farthest Shore (1972)
Other great writers with similar style though not the very same quest trilogy etc type - Anne McCaffrey (combo fantasy/sci-fi), Stephen R. Donaldson (bit darker, heroes from another world), Robin Hobb, Terry Pratchett (bit lighter), Barbara Hambly (In her best stuff, the heroes come from another world etc so that's a little different, trying to skip those since it's not the same thing.)