It's important to find books that you will enjoy reading. If you don't enjoy it, you probably won't do it, so read something interesting! Something that makes you want to keep turning pages.
Here are a few selections of authors, books, and links that might lead you to books you will love.
Fantasy
Authors:
Joe Abercrombie
Brandon Sanderson
J.R.R. Tolkein (Lord of the Rings)
Robert Jordan
Lists:
Vampire
Yes, I'm making this it's own section because it has gotten so big lately
Authors:
Stephanie Meyer (Twilight)
Kristin Cast
Mari Mancusi (Blood Coven Series)
Anne Rice (not new, but classic vampire stuff)
Romance
Young Adult:
Meg Cabot
Rachel Hawthorne
Catherine Clark
Loiuse Rennison
Jodie Lynn Anderson
Sarah Dessen
Adult:
Nora Roberts
Jayne Anne Krentz
Catherine Anderson
Susan Elizabeth Phillips
Susan Anderson
Karen Robards
Elizabeth Lowell
Historical Romance:
Amanda Quick
Diana Gabaldon (time travel/historical)
Julie Garwood
Christina Dodd
Teresa Medeiros
Chick Lit
I know this sounds a lot like romance, but it really focuses on women's issues in general. Its fun stuff to read. A lot of the heroines enjoy fashion or shopping or other girly stuff!
Here is a link that will give you more info on chick literature than I ever could.
And here are some of my favorite chick lit authors:
Jane Green
Jennifer Weiner
Sophie Kinsella
Mystery
Sue Grafton
Mary Higgins Clark
Agatha Christie (old, but classic mystery)
Patricia Cornwall
Carl Hiaasen (humor/mystery)
John Grisham
Janet Evanovich (humor, not scary, but a great read!)
Tom Clancy (military thriller/mystery)
Enjoy your reading!!