Oh, man. I don't even know where to begin. So I'm going to go get a little notebook I have where I've kept a bit of a list of everything I've read...
... ok, am back. Will just list out authors and you'll get the idea & piece together the sorts of stuff I like.
Sci-Fi
Asimov, Banks, Niven, Clarke, Poul Anderson, Heinlein, Blish, Simmons, Zelazny
Fantasy
Herbert, Tolkein, George Martin, Goodkind, McCaffrey, Jordan
Novels - old, good story lines, good character development
Dumas, Dickens, Bronte (both), Thackeray, Eliot, Steinbeck, Hardy, Cervantes
Novels - very psychological in nature, heavier reads
W. Somerset Maugham, Henry James, Dostoyevsky, Tolstoy, Kundera, Nabakov
Novels - more whimsical and shoutout to some Indian authors I thoroughly enjoyed
Gabriel Garcia Marquez, Salman Rushdie
Arundhati Roy, Rohinton Mistry, VS Naipal
Novels - newer authors I've enjoyed
Barbara Kingsolver, Jeffrey Eugenides
Novels / non-fiction - fluffier
Michael Crichton, Neil Gaiman, Jon Krakeur