Good quantum physics textbooks
Schiff and Sakurai are graduate level books. A more "doable" textbook would be Shankar's book.
Griffiths is the standard textbook for undergraduate QM. It is very nice book but, like most of QM textbooks, it must be supplemented by solved problems.
Your best choice is Zettili's book. It contains solved problems on all topics including bra-ket notation. That is the reason basically why it has such high rating on amazon. It bridged a needed gap in QM textbooks.
You can check also Landau's book. As far as I remember, it contains problems with insightful short answers spread throughout the book.
I don't know if you have more theoretical of experimental tendencies but i enjoyed a lot reading "Quantum mechanics" - Claude Cohen-Tannoudji. It is very precise but also more formal.
I think that, looking at how it is teached, quantum mechanics is a bit too academic. For something more interesting fromt the point of view of the examples you should try something of many-body theory but i understand that is a little out of the target.
Try also "Quantum mechanics" - Auletta Fortunato Parisi, Cambridge or "Quantum Mechanics" - Robinett, Oxford