It is good to differentiate from Introductory and Undergraduate texts. If you have never studied QM before an intoductory book would be a good read before an Undergraduate textbook.
Introductory Text
Eisberg, Robert; Resnick, Robert (1985). Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles (2nd ed.). Wiley. ISBN 0-471-87373-X.
Bohm, David (1989). Quantum Theory. Dover Publications. ISBN 0-486-65969-0.
Undergraduate Texts
Used by most major universities
Griffiths, David J. (2004). Introduction to Quantum Mechanics (2nd ed.). Prentice Hall. ISBN 0-13-805326-X.
Liboff, Richard L. (2004). Introductory Quantum Mechanics. Addison-Wesley. ISBN 978-0805387148. The spiderman book
Shankar, R. (1994). Principles of Quantum Mechanics. Springer. ISBN 0-306-44790-8.
Advanced texts.
Gasiorowicz (2003). Quantum Physics, 3rd Edition. Wiley. ISBN 978-0-471-05700-0. More advanced. Used by Princeton, MIT, Berkeley, Harvard, Columbia, UCLA, Illinois, Chicago, Michigan, Wisconsin, Minnesota, Washington, Colorado, UCSD, and UCSB among others.
Even more advanced.
Cohen Tannoudji. Quantum Mechanics (2 vol. set) by Claude Cohen-Tannoudji, Bernard Diu, and Frank Laloe (Paperback - Oct 6, 2006).
ISBN 0471569526. Used by Stanford University.