SHE’S wearing Chanel and Gucci as she ducks out of the paparazzi-swarmed London NYC Hotel, getting recognized everywhere and riding in a black SUV with the license plate “DIVA” on her way to do “Rachael Ray” (last night was “Conan”) to promote four nights at Madison Square Garden this week.

Yet Kathy Griffin is having none of this A-lister talk.

“I’m flattered,” the 48-year-old says of the ever-increasing battle cry.

But? “Well, I’ve never been asked to host ‘Saturday Night Live.’ I’ve never starred in a movie. People think I’m Kathie Lee Gifford all the time. You’ll see it today. I guarantee you in our time together, somebody will do something super D-listy.”