Book reader community.
The Eragon series? It's not that heavy fantasy, but the world is pretty nicely built IMO.
Also, on the wizardy side, I can recommend the Bartimaeus books, too, if you liked Discworld. Again, nothing super serious, but they are fun reads. (Best to read from physical books, they are heavy on footnotes and I found it reading on e-readers kinda awkward)
Lots of good suggestions already. I might recommend Uprooted by Naomi Novik, The Story of Silence by Alex Myers, or The Haunting of Tram Car 015 by P. Djeli Clark.
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.
Michael Moorcock's Elric books tick all of the boxes in your list. So do his Corum and Hawkmoon books.
Patricia C Wrede. The Enchanted Forest Chronicles. The titles for the series are below:
Fantasy stories with each book centered around one protagonist and a meta take of your usual fairy tales. And includes wizards, dragons, princesses too.
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.
I really enjoyed the first six Dragonlance novels - after that, not so much.
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.
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.
Give The Prince Of Nothing series a read. A bit more of a philosophical series than a hack and slash fantasy.
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
I've read it an it's not my cup of tea. The worldbuilding and premise were solid, but the characters fell flat and so did the plot by end of the book. I finished it and felt relieved it was finally over. I think I might try other authors before reading Sanderson again, that's why I've listed him as a please don't recommend.
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.
assasins trilogy is among my favorite
last trilogy starting with bee is kinda bad
the final book reads too much like pandering to fans
Hobb has great books and books with whiney paralyzed main characters which can be a slog
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.
Robin Hobb - Assassin's Apprentice
Very fresh and original high fantasy.
David Eddings? I read him way back when I was a kid (~35 years ago). Think the series was called The Belgariad or Belgarion. The first 3-6 books were fun in a light yet captivating, magicy, fantasy way.
I second this! There are two series in the world: The Belgariad and The Mallorean. Both are really good, and there's two standalone books that are intended to be read after both series called Belgarath the Sorcerer and Polgara the Sorceress.
The books are pretty much classic high fantasy, and each one is a fairly quick read!
The Reyira Revelations Is great fun. Five Gods is an outstandingly well-written series.
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.
I just finished Dragon Weather by Lawrence Watt-Evans. It's got the dragons, magic, adventure and intrigue while also getting the main plot going almost immediately, which I like because I feel the beginnings of books from this genre can drag on forever. It's also a trilogy, so there's more if you like it. Currently I'm reading Empire of the East by Fred Saberhagen, and it's interesting so far because it is fantasy, but there's a science fiction element to it which is fun.
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)
One for the Morning Glory by John Barnes
The King of Elfland's daughter, by Lord Dunsany
Reading Wheel of Time and I'm really enjoying it