dosaditi

1. (+ dat.) to bore; to become tiresome to
   Dosadio mi je ovaj film. — I've got bored with this film.
   Brzo mu je dosadila nova igračka. — He quickly got bored with the new toy.
2. (impersonal, + da / inf.) to be fed up; to be sick of
   Dosadilo mi je da stalno čekam. — I'm sick of always waiting.
   Ako ti dosadi, slobodno idi kući. — If you get bored, feel free to go home.

The person who is bored goes in the dative and the boring thing is the subject: Ti si mi dosadio "I'm sick of you".