strike (one's) fancy(redirected from strike their fancies)
strike (one's) fancy
To be appealing or pleasant to one; to be intriguing or of interest to one. A: "Do you want to go to a movie later on?" B: "I don't know, there's nothing that really strikes my fancy in theaters right now." I'm not going to declare my major until I've had a couple years in college to see what ends up striking my fancy.
strike someone's fancy
to appeal to someone. I'll have some ice cream, please. Chocolate strikes my fancy right now. Why don't you go to the store and buy a CD that strikes your fancy?