3am Magazine has a been publishing fascinating and substantive interviews with A-list academic philosophers for years, and for whatever reason they have generally flown under the radar of both academic audiences and wider readership (at least as far as I can tell). Today they published a list of their 302 interviews, categorized quite broadly (epistemology vs. aesthetics, e.g.). Of course these interviews will be interesting to those in proper philosophy departments, but there are number of classicists in the mix.
To name a few, there are interviews with Gail Judith Fine, Brooke Holmes, Anna Marmodoro, Iakovos Vasiliou, and Katja Vogt. Go have a look at the rest, too.