In transmission order in Australia:
Remembrance of the Daleks
The Greatest Show in the Galaxy
The Happiness Patrol
Ghost Light
The Curse of Fenric

6th place:
Battlefield

Vengeance on Varos
The Two Doctors
Revelation of the Daleks
Mindwarp
Terror of the Vervoids

Mawdryn Undead
Enlightenment
Frontios
Planet of Fire
The Caves of Androzani

6th place: Earthshock

Top five:
Genesis of the Daleks
Terror of the Zygons
The Seeds of Doom
The Talons of Weng-Chiang
State of Decay

The next five:
Pyramids of Mars
Horror of Fang Rock
City of Death
Nightmare of Eden
Full Circle

I'd be interested to know what clips they would have used if William Russell (Ian Chesterton) was available as originally hoped, knowing how many episodes were missing in 1983.

Inferno
The Dæmons
Day of the Daleks
Carnival of Monsters
The Green Death

The Power of the Daleks
The Enemy of the World
Fury From the Deep
The Invasion
The War Games

The Aztecs
The Romans
The Web Planet
The Myth Makers
The Massacre

The Tenth Planet (if I was allowed a sixth story)

Pasta Mañana

I've been thinking about your comments about making entertainment out of the Israel-Hamas conflict being too soon. This would have been filmed around April 2024, only six months after the hostages were first taken, so if they did have this conflict in mind, it was definitely far too soon.