The terms romance and romantic should normally only be capitalised at the beginnings of sentences or in titles. The term Romantic (with a capital letter) refers to the literary style of the late seventeenth and early eighteenth centuries.

Do you capitalize literary movements?

Capitalize nouns and adjectives designating literary, philosophical, musical, religious and artistic periods, movements and styles when they are derived from proper nouns: Aristotelian logic. Cartesian dualism.

Do you capitalize genres?

Names of musical or literary genres do not require capitalization at all, unless the genre name contains a proper name such as the name of a place. For example: ... Radio formats such as adult contemporary or classic rock are also not capitalized.