1)It might to be rainy tomorrow.
(потому что might)
2)Greg is looking forward to visiting New York City.
(looking forward to выражение после которого идет -ing)
3)I promise to give up smoking.
(to для выражения мысли)
4)Try not to fall asleep while watching this film.
(try to значит это цель)
5)Do you engoy listening to pop music?
(после enjy всегда -ing)
6)He was clever to stop and listen to my advice.
(to для выражения мысли)
7)You musn't listening to music so loudly.
(после mustn't)
8)Andrew managed to find his socks.
(после managed ставится to+inf)
9)I want to break free.
(после want ставится to+inf)
10)My mother hopes to get two tickets for this concert.
(после hope ставится to+inf)