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it depends on what context.

• if you are highly impressed with a movie/film/drama. You may say the movie "touches" you, or the movie is "touching".
• in formal manner, you can say you are "impressed".
• with a person, you may say something like I'm fancied with this girl.
• if a concert or singer โดนใจ you, you may say I'm "blown away" by his performance.
• others : fascinating, bravo

Thanks to P'George and Vic for this suggestion ! ;)