I'm actually doing the 19th century thing. I've read Robinson Crusoe, Jane Eyre, Wuthering Heights, Frankenstein, Madame Bovary, Pride and Prejudice, Sense and Sensibility, and Mansfield Park in the last few months. I just started Emma, the 4th and last Jane Austen novel published before her death (I'm not sure if I'll read the other two).
I'll be ready for some Dickens and Dumas soon. I read Crime and Punishment and The Brothers Karamozov a few years ago, so I won't do those again.
I've been reading classics for a few years, tying to read them roughly in publication order, so I started with Homer's stuff and the ancient Greek plays, and I've slowly progressed through the centuries over the years.