The order I played in is kinda goofy. But I started with Persona 5 on Ps4 and got past the first dungeon before my ps4 died.
I gave up on Persona 5 but when smt iii came to the switch I thought I'd give it a try and I fell in love with it. Became a huge smt fan with my favorite probably being IV or then first Devil survivor. Currently playing P4G on my Vita.
Persona 4 Golden. Absolutely fell in love with this franchise because of it. Loved the entire game. I can still remember the feeling I had when you first go into town and "Heartbeat, Heartbreak" is playing. It's just such a great atmosphere. Absolutely amazing game.
I'm currently playing PS5 Royal and will move to P3 after.
Persona 4 Golden. Well, technically Persona 4 OG - friends of mine told me to play it and I had it emulated on PCSX2 (this was before the Steam release of Golden) years ago. I got to Yukiko's boss then dipped. I have a nasty habit of just dropping emulated games.
I picked up P4G again when it got released on Steam, dropped it after getting to Kanji, then continued after getting a Steam Deck (one of the comfiest games to play on a Steam Deck btw), and now I own P4 and P4G's OSTs on CD.