I would have added David Weber’s Honor Harrington series and Robert E. Howard’s Conan series to the list. But I’m not an Asimov fan.
I agree Honor Harrington is a big omission but the Conan series is on the list.
I was happy to see Snow Crash by Neal Stephenson on the list as I didn’t think that was well known.
I would recommend the series by Daniel Keys Moran that includes Emerald Eyes, The Long Run, and Last Dancer. Tough to find as they’ve been out of print for twenty years.
I couldn't stand LOTR, but I've read all 14 (or so) books in Asimov's Galactic Empire series and all of the Dune books and the subsequent off shoots.