Romance or romantic?
I like romantic movies or I like romance movies? are both correct?
Also, a friend of mine said it's all right to say: It's a romantic movie. But it's wrong to say: It's a romance movie. Why is that? Thanks!

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"Romance movie" is absolutely correct and more common than "romantic movie".

ROMANTIC is an adjective.
"A romantic movie/book"
"A romantic night"
"A romantic poem/story"

ROMANCE is a noun.
"It was a short-lived romance"
It can also be an adjective when used to describe a type of writing: romance novels.

Answer

I would disagree with Marcin about 'romance movie' being more common than 'romantic movie'. Certainly you can say that the story is 'a romance', the same way as you'd describe a story as 'a thriller', but I would always use the adjective form before 'movie' or film:  'a romantic movie' or 'a romantic film'.

Out of curiosity, I googled this and found one or two references to 'romance movie' and dozens to 'romantic movie'. This could be a regional difference, but I have never actually heard anyone say 'romance movie'.