Showing romance to your wife is permissible act and romance things changes with time .

If someone wants to express love to his wife by singing can he sing? To sing a song for his wife he has to listen it? But listening is haram?

Is learning and listening to gazals haram too?
I’m always confused about ghina which songs are ghina and which are not?

Songs (al-ghinã’) are harãm absolutely. However, singing praise [of the Prophet or the Ahlul Bayt] that is sung with a good tune but is not in ghinã’ form is without problem.
As for the music, it would be allowed, if it is not suitable for entertainment and amusement gatherings.