A person who is behaving romantically (in a manner befitting someone who feels an idealized form of love).
A person with romantic character (a character like those of the knights in a mythic romance).
Pertaining to an idealised form of love (originally, as might be felt by the heroes of a romance); conducive to romance; loving, affectionate.
Experiencing romantic attraction.
Having the qualities of romance (in the sense of something appealing deeply to the imagination); invoking on a powerfully sentimental idea of life; evocative, atmospheric.
Fantastic, unrealistic (of an idea etc.); fanciful, sentimental, impractical (of a person).
Of a work of literature, a writer etc.: being like or having the characteristics of a romance, or poetic tale of a mythic or quasi-historical time; fantastic.