Nabokov put out most of his famous work after WWII (and thus The Hobbit); Lolita was published in 1955, Pale Fire in 1962. With LW as an audience I think I'd recommend the latter over the former, although they're both quite good. Borges was also most prolific postwar, although there isn't a sharp division with him like there is with Nabokov.

While we're recommending authors, I might as well give a nod to Mikhail Bulgakov (The Master and Margarita; Heart of a Dog). Though he's one that's hard to put an era to; he died in 1940, but The Master and Margarita was published in 1968. Translations into English came even later.