Bemuse (verb)

1. To cause to become absorbed in thought; to perplex; to confuse.
2. To entertain with great pleasure; to interest.

Origin:

From be- + muse.

Examples:

1. The magician bemused the audience with his illusions.
2. The book bemused her for hours on end.
3. His behavior bemused his coworkers.
4. The movie bemused the critics with its unexpected plot twists.
5. The conversation bemused him as it went off on tangents.