I would like to improve my English because I like to listen to music, watch movies and read books in their original language :) So I think these are good reasons for learning a language. Plural 'reasons' as watching movies and reading books are different activities. In a sequence of verbs, only the first [in this case 'listen' ] needs the word 'to' before the infinitive [stem]. You can put 'to' before the others but it's not necessary. If you use the noun [gerund] - 'listening', etc, you don't need 'to'.

I would like to improve my English because I like listening to music, watching movies and reading books in their original language :). So, I think this is a good reason for learning a language.