Firstly, there is the movie adaptation of Interview with the Vampire released in 1994. Directed by Neil Jordan, with the screenplay written by Anne Rice, this movie was destined to be a great success:
The main cast is as follows:
Brad Pitt as Louis du Pointe du Lac (the vampire interviewee);
Christian Slater as Daniel Malloy (the mortal interviewer);
Tom Cruise as Lestat de Lioncourt;
A very young Kirsten Dunst as Claudia;
and Antonia Banderas as Armand.
More details can be found here.
There is also an audiobook:
There was also a Japanese Manga released in hardcover. It was published in 1994 by Tokuma Shoten. It was drawn by Udou Shinohara:
Next, there was a comic book adaptation published in 1991-1994 by Innovation; it was 12 issues in total:
Finally, there is the soon-to-be released graphic novel adaptation of Interview with the Vampire. It will be from Claudia’s perspective. 
Anne Rice believes that retelling the story from Claudia’s perspective makes perfect sense for the Vampire Chronicles, which is told through many points of view. Adding another perspective will only deepen the story. Claudia tells of her eternal childhood, and complains that Lestat and Louis treat her like a child despite her age and experience.
The artwork is quite beautifully drawn, and fans have high expectations for this adaptation. Its release is set for November 2012.
Interview with the Vampire 