The first one is wrong. The second one is used pretty often in spoken English, but it is informal. Words like "to", "with", and "before" are called prepositions. In writing and formal speaking, we normally don't end sentences with a preposition. Other people have already given suggestions about how make it a sentence that doesn't end with a preposition.

Your music is good! I like your music. I like listening to your music. Number 2 is close, but slightly off. It makes sense technically, but you can do better, I think.

Neither is correct. A better way to say this would be: 1) Your music is good. or 2) I like listening to your music.

Neither is correct. A better way to say this would be: 1) Your music is good. or 2) I like listening to your music.