captivate — If you are captivated by someone or something, you find them fascinating and attractive.
rivet — a metal pin for passing through holes in two or more plates or pieces to hold them together, usually made with a head at one end, the other end being hammered into a head after insertion.
charm — Charm is the quality of being pleasant or attractive.
beguile — If something beguiles you, you are charmed and attracted by it.
fascinate — to attract and hold attentively by a unique power, personal charm, unusual nature, or some other special quality; enthrall: a vivacity that fascinated the audience.
enchant — Fill (someone) with great delight; charm.
engross — Absorb all the attention or interest of.
grip — the act of grasping; a seizing and holding fast; firm grasp.
bewitch — If someone or something bewitches you, you are so attracted to them that you cannot think about anything else.
intrigue — to arouse the curiosity or interest of by unusual, new, or otherwise fascinating or compelling qualities; appeal strongly to; captivate: The plan intrigues me, but I wonder if it will work.
preoccupy — to absorb or engross to the exclusion of other things.
subdue — to conquer and bring into subjection: Rome subdued Gaul.
absorb — If something absorbs a liquid, gas, or other substance, it soaks it up or takes it in.
engage — Occupy, attract, or involve (someone's interest or attention).