All of Neil Gaiman's fantasies are not at all Tolkienesque. Stardust is a modern old fashioned faerie tale. Neverwhere is a weird fantasy under modern London.
Guy Gavriel Kay's books also are not Tolkienesque (except for the Fionavar Tapestry), being essentially historical fiction set in fictionalized settings based on world history, with a little bit of magic thrown in for atmosphere and story.
Steven Brust's books also don't draw much from Tolkien, except perhaps for the most basic premise of having different races around. (Dragaera sortof has elves, dwarves, and humans, but only in the most literalistic sense).
Brandon Sanderson's Elantris is the most unique fantasy I've read in a while.