* Αγάπη μου (Agapi mou): This translates to "my love" and is a very common and sweet term of endearment. It's probably the closest general equivalent.
* Ψυχούλα μου (Psihoula mou): This means "my little soul" and is very affectionate and intimate.
* Αγόρι μου / Κορίτσι μου (Agori mou / Koritsi mou): These translate to "my boy" / "my girl" and are suitable if you're addressing a male or female respectively. They're less overtly romantic than "my love."
* Γλυκούλι μου (Glykouli mou): This translates to "my sweetie" or "my sweet one."
* Ζωή μου (Zoí mou): This means "my life" and is a very passionate and deeply affectionate term.
The best choice will depend on your relationship and the level of intimacy you want to express. "Αγάπη μου (Agapi mou)" is a safe and generally appropriate option in most situations.