There are many excellent references that may be consulted for thorough descriptions of meteorite classification, a few of which are listed here:
V.F. Buchwald (1975). Handbook of Iron Meteorites, Univ. of Calif. Press. 3 Volumes.
R. Hewins & R.H. Jones (Editors) (1997). Chondrules and the Protoplanetary Disk. Cambridge Univ. Press.
J.R. Kerridge & M.S. Matthews (Editors) (1989). Meteorites and the Early Solar System. Univ. Arizona Press.
H.Y. McSween, Jr. (1999). Meteorites and their Parent Planets. Cambridge Univ. Press. Second edition.
J.J. Papike (Editor) (1998). Planetary Materials. Reviews in Mineralogy 36. Min. Soc. America.
More general books on meteorites include:
A.W.R. Bevan and J. de Laeter (2002). Meteorites: a journey through space and time. UNSW Press.
S.S. Russell and M. M. Grady (2002). Meteorites. NHM Press.