Answer by Mariano Suárez-Álvarez for A down-to-earth introduction to the uses of derived categories

In Bernhard Keller's list of preprints and publications you will find characteristically nice expositions on derived categories (with the point of view of someone interested in representations, mostly, I'd say): Derived categories and their uses, from the first volume of the Handbook of algebra, and Introduction to abelian and derived categories, the notes from his lectures in a school at ICTP (Trieste 2006), &c.