Huybrechts Complex Geometry is excellent, and has some more recent stuff.

Griffiths and Harris Principles of Algebraic Geometry is a great classic.

Barths, Peters and Van Den Ven Compact Complex Surfaces gives a nice explanation of the classification of surfaces, which gives lots of nice examples, including nonalgebraic ones.

Beauville, Complex Algebraic Surfaces covers the classification of surfaces in the algebraic category.

Demailly, Complex Analytic and Differential Geometry is more comprehensive, from the transcendental point of view.