My longtime favs (apart from LOTR by Tolkien) are:

1. The Realm of the Elderlings series bei Robin Hobb
2. Memory, Sorrow, and Thorn by Tad Williams
3. Ea Cycle by David Zindell

Magician,and searching this I see they're making a TV series, 🤯

https://en.m.wikipedia.org/wiki/Magician_(Feist_novel)

A few I've enjoyed that aren't mentioned elsewhere so far:

• Robin McKinley, The hero and the crown. If you've never read this, please, just go and do so, if you read nothing else on this entire response. The Newbery Medal it got was well deserved. (And it has princesses and dragons and wizards.)

• Louise Cooper, Indigo (8 short books). Sealed ancient evil, cursed protagonist on heroic journey, talking animal companion. Just lots of fun all around.

• Lois McMaster Bujold, The curse of Chalion series. Maybe a little more politics than you are looking for, but the divinity/magic system works well and I appreciate that the viewpoint characters are generally kind of old and busted. She is of course better known for the (excellent) Miles Vorkosigan military space opera series.

• Sarah Monette and Elizabeth Bear, A companion to wolves et seq. Exactly what it says on the tin; the catch is that the viewpoint character of the first book becomes bonded to a female wolf, which radically changes how his culture sees him.

• Elizabeth Moon, The deed of Paksenarrion. Basically what you'd get if you wrote down a really good D&D campaign (but mostly for only one viewpoint character). Formulaic in spots but enjoyable and well executed.

Other replies have mentioned Steven Brust's Vlad Taltos books, which I enjoyed a lot; and David (and Leigh) Eddings, which were my first big-kid fantasy novels (as for many other other American children of the 70s and 80s). Another long series in something of the same vein as Eddings is Raymond E. Feist's Riftwar saga; I haven't read the entries after 2000, but before that it was a lot of fun.

I really enjoyed the first six Dragonlance novels - after that, not so much.

• The Belgariad and The Malloreon by David Eddings. His books have classic D&D feel, light reading with bits of humor.

• Realm of the Elderlings by Robin Hobb. A massive plotline (all books already written so no need to wait), very dark, superb characters.

Just out of curiosity, why haven't you read Tolkein?

Give The Prince Of Nothing series a read. A bit more of a philosophical series than a hack and slash fantasy.

I'm currently reading the Bound and Broken series by Ryan Cahill. Seems pretty solid. It has dragons, wizards, other magical creatures, elves, dwarves... There is some war, but it's largely a coming of age story centered around an 18-20 year old man.

Mistborn is great, less dragons and more alchemical science. Begins with a satisfying tale of overthrowing the government, and then tackles some of the “okay… now what” with tons more interesting stuff along the way

NPRs top 100 scifi and fantasy books.

https://imgur.com/a/zHxdYSF

I'd recommend David Eddungs' Belgariad. Got me into fantasy genre. Then there's Robin Hobb, Trudi Canavan, Raymond, E Feist (brilliant), Jonathan Stroud's Bartimaeus Trilogy. So many good things out there. If you enjoyed Discworld you'll enjoy these too even though they're not comical like Pratchett novels are.

I'm saving this thread for later because I'm interested in this genre, I am totally new to books, I haven't even read LOTR, The Hobbit, Game of Thrones or House of the Dragons books, I have only consumed that through the movies and TV Shows, but seems like there are some really neat suggestions here.

Rick Riordan's various series might catch your fancy - they're really young adult fiction, but they're still a good read. They cover Greek, Roman, Norse, and Egyptian mythology from the perspectives of the god's half human offspring, bringing the mythology into a modern context while retreading the old myths.

Fairy Tale by Stephen King is a refreshing take on classic fantasy themes!

Have you considered Kate Elliott novels? Jaran was amazing if you like sci-fi/fantasy crossover, or King's Dragon if you like pure fantasy. If you prefer easier reading check out the Dragonriders of Pern series.

You say fantasy, but while technically sci fi, I'd like to suggest the galactic milieu series by Julian May. It starts out sci fi and I guess constantly has sci fi elements but leans pretty heavily into bridging the gap to fantasy (elves, dwarves, shapeshifting monsters, magic etc)