When I was a wee babü, I would only go to sleep after being read a story, and my father's way of killing two birds with one stone was to read me Moby-Dick. It put me to sleep almost instantly because it was so fucking boring, but now that I am grown and have a hair or two on my chin, I have actually read Moby-Dick and found that it wasn't as boring as it was when I was a child.
My favourite classic novel is Ivanhoe by Sir Walter Scott. I've always been attracted to typical neckbeardy things like tales of chivalry and the inescapable "girl in the tower" stories simply because I'm interested in the time period rather than the actual neckbeardy things. Other favourites of mine are Bram Stoker's Dracula, Victor Hugo's Les Misérables, Gaston Leroux's Phantom of the Opera, and strangely Joseph Conrad's Heart of Darkness.
In terms of poetry, my absolute favourites are The Divine Comedy and Beowulf. I'm not so much into poetry, mostly because after having been forced to read and also analyse a shit-ton of poems in high school I'm pretty much burnt out.
Plays: Macbeth, Hamlet, Love's Labours Lost, and Goethe's Faust. I have considered reading Marlowe's Dr. Faustus but for the most part I am uninterested; don't really know why. I don't like much in the way of Greek plays, but Medea and Oedipus Rex are the two I actually enjoyed when I was required to watch/read them in high school English/theatre arts.