Well, I never much liked Twilight, so maybe my suggestion will be less than suited to your tastes--BUT, I did absolutely adore the Series of Unfortunate Events and read Goblet of Fire until the spine fell apart...
The Chronicles of Narnia are a really great jump into a slightly more advanced level of reading. As for love stories, if you can handle guessing at the meaning of words or using a dictionary a bit, Jane Eyre is one of the most romantically charged and galvanic stories that I've ever read--and if you like even darker stuff, you can move onto Wuthering Heights, which I could not put down--it was so moving... but a little grotesque: you have two people who hate everyone except each other.
Or if you're into lighter romances, Jane Austen is one of my favorite authors; Pride & Prejudice was basically the ORIGINAL romantic comedy, Northanger Abbey has a tomboy turned beauty, who confuses reality and fiction; and Austen's other works are equally as funny--and there are subtle social outcries that are always interesting to detect. She's been compared to Shakespeare, and I think she's easier than Shakespeare, so...
And if you like Austen, but want more magic, there's Susanna Clarke's Jonathan Strange and Mr Norrell, which is incredibly detailed, and sometimes plodding, but quite amusing and has a great universe. On those lines, I of course have to mention Lord of the Rings, which is to be honest, a little dry, but everybody adores the movies--give it a shot. The Hobbit is nicer and simpler, I think.
On a similar thread, but even more magical (cause Gandalf does magic like twice in the whole story--lame) and somewhat more overtly sexual, is The Mists of Avalon, which is sort of a retelling of the Arthurian Legend from Morgan le Fay's point of view. I absolutely loved it. Another Arthurian Legend, a bit more family-friendly, is The Once and Future King, which is pretty original and tells Arthur's childhood and more. And going back to ancient (sort of) times, but really satirical and shockingly inappropriate at times is Gulliver's Travels by Jonathan Swift, which is definitely not the kiddie version you may have heard. And it's not too long, either.
And on that epic sort of line, The Count of Monte Cristo, by Alexandre Dumas, is pretty great. You have a guy imprisoned falsely, a treasure quest, revenge, romance, bandits-it's a rollicking good yarn.
The Time Traveler's Wife, which is now a pretty suckish movie, is a pretty good book, and definitely met my romantic likes, but a little mature.
And even more mature, but one of the greatest books of the twentieth century is Lolita--which is disturbingly well-written. That's all I'll say...
Back to the simpler, but still surprisingly profound, The Little Prince (you can read the original French if you've had a year or two--it's really simple) and Alice in Wonderland are great stories, which I read in fifth grade, but have found myself coming back to time and again. You also have The Alchemist and The Life of Pi, which have seen some popularity recently, and teach great life lessons, while still being exceptionally nice stories.
...These represent a pretty wide range of books that all delighted me in the past few years. You should definitely be able to find something here. Good luck!