There's a lot of stuff I really hope happens next episode. Spoilers ahead:
Sam and Gilly need to be sent south to Oldtown. This may be the first thing that happens?
Arya's 'Mercy' chapter and Ser Meryn's death.
Dany gets her period and is found by Khal Jhaqo.
Maybe Sansa and Theon will escape Winterfell? It would have made more sense if this had happened before Davos left, since...
The letter that Davos is to bring to the wall will arrive, it will be the "Pink Letter". Jon may also find out about Sansa somehow.
Cersei's walk of shame and letter to Jaime.
Doran: ""Vengeance." His voice was soft, as if he were afraid that someone might be listening. "Justice." Prince Doran pressed the onyx dragon into her palm with his swollen, gouty fingers, and whispered, "Fire and blood."" IF HE DOES NOT SAY THESE EXACT WORDS OH MY GOD. Also hopefully this will also relate to Trystane being revealed as (f)Aegon. If this happens all the nonsense in Dorne will be worthwhile so PLEASE.
Jaime gets the letter, possibly he has already found out about Doran's plans and is on board, burns the letter.
Arya perhaps gets kicked out of the House of Black and White for not doing what she's told.
Jon gets stabbed, hopefully it shows the signs needed for AA Reborn. It either ends here or...
LADY STONEHEART?! Not counting on it, but it would be lovely.