Allen Hatcher: Algebraic Topology, 2002. Cambridge University Press. ISBN: 0-521-79540-0. The Book can be downloaded on the authors homepage.
The following parts of the book are covered:
Ch. 0: All
Ch.1: Everything before and including p. 74 (Example 1.43)
Ch. 2: Everything, with the following exceptions:
Homology of groups and Prop.2.45 (p. 148-149)
Example 2.48
Classifying space of a category, p.165
Appendix 2A. (But 2B and 2C are included)
Ch. 3: All of 3.1, and 3.2 before Künneth formula