Well, not so "classic" as to be out of copyright...
Care of the Souls in the Classic Tradition by Thomas C. Oden
Biblical Themes For Pastoral Care by William P. Oglesby Jr.
Worship as Pastoral Care by William H. Willimon
The Christian Pastor by Wayne E. Oates
Preface to Pastoral Theology by Seward Hiltner
A History of the Cure of Souls by John T. McNeill
The Search for Compassion: Spirituality and Ministry by Andrew Purves
A Theology of Pastoral Care by Eduard Thurneysen
Dictionary of Pastoral Care and Counseling by Rodney J. Hunter
Pastoral Care in Historical Perspective by William A. Clebsch and Charles R. Jaekle (this is a new edition of a classic)