Is there any comprehensive reference for AlmosKahler geometry or more generally to Almost Hermitian geometry ?

The paper that started this all is the one by Gray and Hervella where they classified the different types of almost Hermitian structures. It's a classic and still very much well worth reading: The sixteen classes of almost Hermitian manifolds and their linear invariants. A Gray, LM Hervella. Ann. Mat. Pura Appl. (4) (1980) vol. 123 pp. 3558 http://www.ams.org/mathscinet/search/publications.html?pg1=MR&s1=MR581924 


A slightly more current paper can be found here: Apostolov, Vestislav; Drăghici, Tedi The curvature and the integrability of almostKähler manifolds: a survey. Symplectic and contact topology: interactions and perspectives (Toronto, ON/Montreal, QC, 2001), 25–53, Fields Inst. Commun., 35, Amer. Math. Soc., Providence, RI, 2003. This gives a review of the various approaches to Almost Kaehler Geometry that has been taken since the Gray/Hervella article. 

