Well we’ve had the “fall of Rome” so how about "the world greatest Empires". Here’s my choices, feel free to disagree.
Roman
Size:- Large only real failure with the middle east and the pesky Parathions 7/10
Staying power:- About 2000 years if you include the Eastern Empire 8/10
Influence:- Huge influence on Western Europe, less so in the east, where I would say they absorbed much of the culture rather than imposing their own. Largely responsible r the spread of Christianity 9/10
Total 24/30
British
Size:- Largest empire ever 10/10
Staying power:- not very good relatively short lived at it peak only for a hundred years or so 2/10
Influence:- Massive influence on the modern world, Industrial revolution, America, Australia, language, but not enough elapsed time to asses the full impacts 8/10
Total 20/30
Chinese
Size:- Big, taking in well China and a various times, Mongolia, Tibet, Vietnam, Korea 6/10
Staying power:- Well you can trace the Chinese history back for 3000+ years with various dynasties 7/10
Influence:- Huge in Asia, big influence in scientific discoveries, silk, Chinese takeaways ect 7/10
Total 20/30
Alexander the Great (Macadonian)
Size:- Huge a land empire not supposed until the coming of the Mongols 8/10
Staying power:- Died with Alexander 2/10
Influence:- Huge, brought Hellenic culture to the middle east, revolutionised warfare and lead to many successor empires. Probably one of the most famous men ever to have lived 8/10
Total 18/30
Achaemenid Persians
Size :- Large at the time the biggest Empire in the world 7/10
Staying power :- One of the first World Empires can trace it routes back to Sargon around 2000 BC until the fall at the hands of Alexander about 300 BC 7/10
Influence:- At the time huge, but no real staying power, became Hellenised defeat by Alexander, religion lasted until superseded by Islam 3/10
Total 17/30
Greeks
Size:- More a collection of loosely allied city states, than a unified Empire 2/10
Staying power:- A couple of hundred years 3/10
Influence:- Huge, greatly influenced Alexander, and the Romans leading to a spread of Hellenic culture to Europe and the middle east 10/10
Total 15/30
Ottoman
Size:- Middle east, Egypt, Balkans 6/10
Staying power:- About 800 years up until the end of the first world war 5/10
Influence:- An Islamic super power of the middle ages 5/10
Total 16/30
Mongol
Size:- Largest land Empire ever 9/10
Staying power:- Spit after the death of Genghis 2/10
Influence:- Not much real lasting influence in Europe, but lead to Kublai Khan in China and the Mughals in India 5/10
Total 16/30
Other mentions, The Mughal Empire, The Sassanid Empire, The Russian Empire, The Arab Empire. Cases could be made to include any of them, but a mixture of not being assed and not really knowing much about some of them I left them out. There probably some more as well. Purely arbitrary scoring and approximate dates as I can’t be bothers looking them up