I opened your most recent savegame in 1300 AD, but had problems with the 1100 AD one which crashes back to desktop
Can you check that it is not corrupted for you?
You have clearly won this game and you can choose how to do that. You could win by Domination which probably needs an invasion of one of the civs on the other continent. That will be a great way to show new players how to assemble an invasion fleet of say 10 galleons and 5 frigates and take out a few cities over there. An alternative is to use the AP and get a religious based Diplomatic victory after you've united your own continent. You only need to send a missionary to each of the other players and wait for a resolution, a bit cheap maybe, but that might give you the quickest victory and highest score.
I would not favour a transition economy for two reasons. One is that is not really a SE (but is more accurately described as a HE game) and that is what you're trying to show here. A well run SE can win a Space race as fast as a transition economy, but might take a bit more micromanagement. Secondly it is highly dubious that it would be better in this case. You have a very strong SE set up with a great combination of cities and wonders. The combination of AP, UoS and SM is incredibly powerful when combined with a SE and a domination push especially when you have the shrine of the state religion.
Criticisms:
I have looked at several of your cities in 1300 Ad and wonder why you're doing it the way you are
It is all micromangement stuff so feel free to ignore it at the Prince level but it would make a difference at Emperor and above.
Delhi is a major prize and should be developed as fast as possible. It has food, hammers, wonders can generate many GPPs and huge potential as a production outlet. That means granary and lighthouse before bank (even though that is a good build). Food and growth is much more important in a city like that than getting a little extra gold a few turns earlier 9as you can build the bank 6 turns after anyway), especially as you have 2500 gold already saved. Delhi is only size 7 and could be size 15 and it is about to lose 17 food due to growth without a granary
Other cities seem to need granaries and lighthouses too to boost growth. For now, and in a SE generally, food is the most important resource and nearly always comes before anything else (especially as you're Creative and don't need culture). From each 2 food you save you can eventually run a specialist for a turn and that can be turned into 6 beakers and 6 GPPs. Wasted food is wasted SE potential.
I can't see why you're building banks in Sparta and Aristottleville. Neither have barracks and could be useful drafting cities if they had barracks.
Civics change: as this is the last turn of your GA I would change civics to Free Market, Police State (+25% military production and WW) and Theocracy (if you intend to attack Stalin in a few turns). Otherwise stick with Representation and OR (you do have a lot of buildings to finish in a lot of cities) and just change Free market for the extra trade route.
Research: I'm not sure if this is already your plan but I can't see otherwise. I would research Steel after Chemistry. Cannons are the essential ingredient for a very fast conquest of Stalin and Bismark. Three cannons can reduce the defences in one turn and 2 or 3 more reduce the defenders to pulp that your other troops such as macemen and elephants can roll over. With cannons against longbows you don't need grenadiers or rifles or cuirassiers to take cities. This should be a blitzkrieg from now on.

You have clearly won this game and you can choose how to do that. You could win by Domination which probably needs an invasion of one of the civs on the other continent. That will be a great way to show new players how to assemble an invasion fleet of say 10 galleons and 5 frigates and take out a few cities over there. An alternative is to use the AP and get a religious based Diplomatic victory after you've united your own continent. You only need to send a missionary to each of the other players and wait for a resolution, a bit cheap maybe, but that might give you the quickest victory and highest score.
I would not favour a transition economy for two reasons. One is that is not really a SE (but is more accurately described as a HE game) and that is what you're trying to show here. A well run SE can win a Space race as fast as a transition economy, but might take a bit more micromanagement. Secondly it is highly dubious that it would be better in this case. You have a very strong SE set up with a great combination of cities and wonders. The combination of AP, UoS and SM is incredibly powerful when combined with a SE and a domination push especially when you have the shrine of the state religion.
Criticisms:


Delhi is a major prize and should be developed as fast as possible. It has food, hammers, wonders can generate many GPPs and huge potential as a production outlet. That means granary and lighthouse before bank (even though that is a good build). Food and growth is much more important in a city like that than getting a little extra gold a few turns earlier 9as you can build the bank 6 turns after anyway), especially as you have 2500 gold already saved. Delhi is only size 7 and could be size 15 and it is about to lose 17 food due to growth without a granary

Other cities seem to need granaries and lighthouses too to boost growth. For now, and in a SE generally, food is the most important resource and nearly always comes before anything else (especially as you're Creative and don't need culture). From each 2 food you save you can eventually run a specialist for a turn and that can be turned into 6 beakers and 6 GPPs. Wasted food is wasted SE potential.
I can't see why you're building banks in Sparta and Aristottleville. Neither have barracks and could be useful drafting cities if they had barracks.
Civics change: as this is the last turn of your GA I would change civics to Free Market, Police State (+25% military production and WW) and Theocracy (if you intend to attack Stalin in a few turns). Otherwise stick with Representation and OR (you do have a lot of buildings to finish in a lot of cities) and just change Free market for the extra trade route.
Research: I'm not sure if this is already your plan but I can't see otherwise. I would research Steel after Chemistry. Cannons are the essential ingredient for a very fast conquest of Stalin and Bismark. Three cannons can reduce the defences in one turn and 2 or 3 more reduce the defenders to pulp that your other troops such as macemen and elephants can roll over. With cannons against longbows you don't need grenadiers or rifles or cuirassiers to take cities. This should be a blitzkrieg from now on.