Don Swaim, a man who has interviewed a considerable number of authors, managed to talk with Burgess in 1985. It appears the entire recording, including Burgess sitting down in his chair and reciting a bit of French just before meeting up with Swaim, is available online.
A sample.
Q: You infuriated a good deal of people with your 99 novels list.
A: (calmly) Yes, that was the intention.
(There are also interviews with Isaac Asimov, Jimmy Breslin, Wlliam Burroughs, Dorris Lessing, Donald Westlake and Sloan Wilson.