Conversations with X

Examples of this form (distinct from the interview, though at times these works lapse into it):

Boswell, Life of Johnson

Eckermann, Conversations with Goethe

Richter, Conversations with Bruno Monsaigneon

Traubel, With Walt Whitman in Camden

Some scholarship and secondary reading on conversation:

Gibian, Oliver Wendell Holmes and the Culture of Conversation

Miller, Conversation: A History of a Declining Art

Turkle, Reclaiming Conversation