Genre lists: the best fantasy series

Last year I wrote about how I worked my way back into regular fiction reading through genre, specifically the genre of crime novels. I also keep separate genre lists for fantasy and science fiction. Each scratches a particular itch, and I slowly make my way through each one, as the mood strikes me. But I'm a novice, using either my own eclectic interests or the lists of others as guides. I thought I'd open myself up to others to build out my current fantasy list.

NB: I'm not looking to be a completist for completion's sake. I don't want to read just-fine or so-so series in order to comprehend the genre. I want to read the very best series, for nothing but pleasure. Having said that, I do enjoy (as my chronological listing below shows) understanding the relationship between different fantasy novelists and series, tracking the influence going forward and the reactions, revisions, and subversions looking backward. I find that endlessly fascinating.

So: Having said that, if you were to add 3-5 must-read books or series to this list, what would you recommend? [NB: The list has now been updated with suggestions.]

1. E. R. Eddison, The Worm Ouroboros (1922)
2. Robert E. Howard, Conan the Barbarian (1932–36)
3. J. R. R. Tolkien, The Hobbit (1937) + The Lord of the Rings (1954)
4. T. H. White, The Once and Future King (1938–58) + The Book of Merlyn (1977)
5. C. S. Lewis, The Chronicles of Narnia (1950–56)
6. Alan Garner, The Weirdstone of Brisingamen (1960)
7. Madeleine L’Engle, A Wrinkle in Time (1962)
8. Lloyd Alexander, The Chronicles of Prydain (1964–68)
9. Ursula K. Le Guin, Earthsea Cycle (1968–2001)
10. Richard Adams, Watership Down (1972)
11. Stephen King, The Stand (1978) + The Dark Tower (1982–2004)
12. Mark Helprin, A Winter’s Tale (1983)
13. Terry Pratchett, Discworld (1983–2015)
14. Guy Gavriel Kay, The Fionavar Tapestry (1984–86)
15. Tad Williams, Memory, Sorrow, and Thorn (1988–1993)
16. Robert Jordan, The Wheel of Time (1990–2013) 
17. Robin Hobb, The Farseer Trilogy (1995–97)
18. Philip Pullman, His Dark Materials (1995–2000)
19. George R. R. Martin, A Song of Ice and Fire (1996–)
20. J. K. Rowling, Harry Potter (1997–2007)
21. Jim Butcher, The Dresden Files (2000–)
22. Neil Gaiman, American Gods (2001)
23. Susanna Clarke, Jonathan Strange & Mr. Norrell (2004)
24. Gene Wolfe, The Wizard Knight (2004)
25. Scott Lynch, Gentlemen Bastard Sequence (2006–) 
26. Joe Abercrombie, The First Law (2006–)
27. Brandon Sanderson, Mistborn (2006–)
28. China Miéville, Un Lun Dun (2007) + The City & The City (2009)
29. Patrick Rothfuss, The Kingkiller Chronicle (2007–)
30. Lev Grossman, The Magicians Trilogy (2009–2014)
31. Justin Cronin, The Passage Trilogy (2010–16) 
32. N. K. Jemisin, Broken Earth Trilogy (2015–17)