http://en.wikipedia.org/wiki/Vampire_literature#Twenty-first_century
Let the Right One in is a novel that spawned movies based on it. Salem's Lot is a vampire story by Stephen King (it's kind of Dracula in small town America). I Am Legend is a lesser known one by Richard Mathson (thanks Will Smith for ruining this for everyone. Your damn movie didn't even have vampires).
There's also anything by Anne Rice, if you can get over her flippyness with religion which sometimes spoils the reading.
Though it's not directly in line, and they are romance novels, I always recommend fans of supernatural books the Women of the Otherworld series. Vampires don't feature prominently in the series as much as werewolves and witches but the series is mature romance/thriller novels, not Twilight grade melodrama.