Chau: This is a more informal way to say goodbye. It is used mostly in Latin American countries.
Hasta la vista: This phrase means "until the view" and is used in both formal and informal situations.
Hasta luego: This phrase means "until later" and is used in both formal and informal situations.
Nos vemos: This phrase means "we will see each other" and is used in both formal and informal situations.
Buenas noches: This phrase means "good night" and is used when you are saying goodbye to someone at night.
Buen dia: This phrase means "good day" and is used when you are saying goodbye to someone during the day.
Buenas tardes: This phrase means "good afternoon" and is used when you are saying goodbye to someone during the afternoon.