Don’t call her/him ‘Anata(you)’? How do lovers call each other in Japanese?

I am amazed how creative French speakers are when they call their lovers, not only “Ma chérie” or “Mon amour” but also “Mon ange” “Mon petit monstre” “Ma puce” and so on. Compared with those, the way of calling each other for Japanese lovers is very boring. Is it because they are so shy?

Japanese people generally call by somebody’s family name followed by “San” which corresponds to “Mr.” or “Miss.” After they become close friends, they stop using “San”.