If you like J. R. R. Tolkien, I'd check out Tad Williams.

In terms of comics... Darwyn Cooke's DC: New Frontier is fantastic, as are several comics by Robert Kirkman (I love Invincible and The Walking Dead the best).

Just so you know, New Frontier and Invincible are superhero stuff (but very intelligent), and The Walking Dead is a psychological zombie horror comic.

Which Twain did you read, out of curiousity?

hey, i love charlotte bronte - im reading jane eyre at the moment - i recommend jodi picoult, agatha christie is good if you enjoy that sought i thing - i do but a lot of people dont - the just so stories are well worth reading (they are a little kids book but they are really well written and beneficial to read" umm roald dahl is good, im not sure what else, best wishes reading

If you haven't already, definitely check out the Song of Ice and Fire series by George R.R. Martin.
Along with that, I'd say The Name of The Wind by Patrick Rothfuss. A lot of people are actually chalking it up to be the modern day LotR, so!

On the comic section, I don't know if you like superhero comics, but Brubaker's run of Captain America has been absolutely amazing. Lots of political intrigue and all. The first 25 issues of his run is all collected in an omnibus, too.

If you haven't read anything by Terry Pratchett or Neil Gaiman then I heartily recommend it.
The Wind on Fire Trilogy by William Nicholson is also enjoyable, especially the middle book, Slaves of the Mastery.
Keith Donohue's novel, The Stolen Child is an awesome fantasy aimed at adults.
The Women in White by Wilkie Collins is a very easy to read classic.
Utopia by Sir Thomas More is a classic I'm currently reading. It's translated from latin and is very awkward to get into, but if you're interested in politics it might be worth a go.
I am Legend by Richard Matheson is gritty, adult fantasy and for me was a very good read.
I personally read through a book that listed and gave descriptions of 501 books from various genres that were considered classics or modern classics and then made a list of the ones that sounded interesting. I now have a list of around 250 books to read - I'm slowly going though it.

Jasper Fforde and Arto Paasilina?

Fantasy:

Somplace to be Flying,/i> by Chareles De Lint (this is urban fantasy)
The Mirror of Her Dreams, A Man Rides Through (Mordant's Need vol. I & II) by Stephen R Donaldson


Intelligent Comics (I'm guessing you mean graphic novels/comic books):

Strangers in Paradise by Terry Moore (at least the first thirty issues which I believe are all available in volumes)
The Watchmen by Alan Moore and Dave Gibbons
Blankets by Craig Thompson

Someone also recommened Tad Williams. I liked the Memory, Sorrow, and Thorn series but not Otherland

Diana Wynne Jones. I haven't read nearly enough of her stuff, but what I have has been great.

Well, here are a few-
Classics:
Pride and Prejudice by Jane Austen
Crime and Punishment by Dostoevsky
The Three Musketeers by Dumas
Canterbury Tales by Chaucer (best in a side by side translation from Middle English)
Candide by Voltaire
Fantasy(I'll just suggest authors):
David Eddings (lowbrow high fantasy-funny)
Katherine Kurtz (medieval fantasy set in quasi Welsh setting)
Lian Hearn (medieval fantasy set in quasi japanese setting)
Judith Merkle Riley (medieval fantasy)
Terry Pratchett (hilarious)
Mercedes Lackey
Guy Gavriel Kay
Connie Willis

For a good fantasy try Maledicte by Lane Robins, it's a little dark but once i got into it i couldn't put it down. Oh, and The Magicians and Mrs. Quent.... author escapes me... but it's kind of written around the premis of "what would happen if magic stepped into the world of Jane Austin?" It's really good, but it takes a while for the story to actually start. Also, a great place to find good fantasy is the YA section, for some reason, YA writers tend to be more original in their story lines than many adult fantasy writers, you could try The Book of Mordrid by Vivian Vande Velde or Tamora Peirce's Tricksters duo. Classic-wise, have you read any Victor Hugo? (Les Miserables and Hunchback of Notre Dame) he's great. And i don't know if it consitutes as a classic but Rebecca, by Daphne Demourier is fantastic

If you like Marian Keyes, I may suggest Sophie Kinsella's "The Undomestic Goddess" - it's hilarous! More slapsticky than MK, but really really good.

I shall kill two birds with one stone and recommend a slew of classic fantasy works.

Poul Anderson's Three Hearts and Three Lions, Operation Chaos, and A Midsummer's Tempest.

Hope Mirreles's Lud-In-The-Mist

Lord Dunsany's The Charwoman's Shadow

Peter S. Beagle's The Last Unicorn

Patricia McKillip's Riddle of the Stars trilogy: Riddle Master of Hed, Heir of Sea and Fire, Harpist in the Wind

Barry Hughart's Bridge of Birds

If you liked Harry Potter, you'd probably love The Dresden Files by Jim Butcher. It's about a wizard in Chicago who helps the police out with supernatural crime (though, that summary doesn't really do the series justice, it's just the easiest way to explain it to someone who's never heard of it before).

There are currently ten books in the series (the eleventh comes out in April), and Mr. Butcher has apparently planned twenty. If you've seen the show, well, don't let it influence you, the show was crap, imo.

I know "classics" is a pretty broad category, so this may not be your thing, but one of my favorite classics that doesn't come up a lot these days is Sir Walter Scott's Ivanhoe. It's a great story with lots of good elements--the perpetual conflict between the Normans and the Saxons, a hero in disguise, two beautiful women, King Richard the Lionheart, a slew of Norman villains, and even an appearance by Robin Hood.

if you like intelligent comic then Let me Recommend The Watchmen, It is one of the most amazing pieces of sequential art to ever be written.

What about Twilight series?