Citace:If you plan to watch them in "chronological order" it would be:

Persona 3 Movies:
1. Spring of Birth
2. Midsummier Knight's Dream
3. Falling Down
4. Winter of Rebirth.
Persona: Trinity Soul (spin-off so you can watch it whenever)

Persona 4 The Animation
Persona 4 The Golden Animation
Persona 4 The Animation: The Factor of Hope OR Persona 4 The Animation: No one is Alone. (No One is Alone is the Final episode for the Persona 4 series. Factor of Hope is a recap of Persona 4 animation + No one is Alone. So watching either is fine depending if you want to save time or not.)

Take note that Persona 3 and Persona 4 are completely different stories, so you do not have to have seen Persona 3 to understand Persona 4.