Yeah but Feudalism was a European thing. I kinda like Civilization Age, though I guess one could argue the previous stages; metal, agricultural never really ended. Which is why I feel like those two should be something more specific (like Neolithic, Chalcolithic, Bronze, Iron). Civilization Age to me would represent the first empires and hegemonies of the mid to late Bronze age and beyond.
Maybe a civ could be in the Neolithic, progress to Chalcolithic, Bronze, then Iron technologically but at any time they can advance to Civilization if they conquer another city or vassalize another civ (basically forming a hegemony). Once in the Civilization era they can use new civics/policies/etc. to reflect the new societal complexity that comes with managing an empire/hegemony instead of a tribe/city state. So you could have a civ that maybe only makes it to the Chalcolithic but gets to skip ahead to Civilization if they manage to conquer/vassalize early.
I don't really like Scientific because again that hasn't really ended per say (if anything society has only gotten more scientific since 1680). Transoceanic makes more sense, or even Early Global due to the end of continental isolation taking place during this time. I would also say that in order for a society to advance to this stage they would need to have a certain amount of overseas trade routes, with those choosing to remain isolationist remaining stuck in the previous era (like China or Japan). Again new civics/policies would be available for choosing to enter this stage which would allow for accelerated tech tree progression.
Fuel Age could just be renamed to Industrial, Fuel Age just doesn't sound right. Machine sounds about right since that is one of the names for the Second Industrial Revolution (when electricity was becoming mainstream and Nikola Tesla was in his prime). Alternately these eras could simply be called First Industrial and Second Industrial respectively. You would enter these ages technologically like the Chalcolithic, Bronze and Iron ages instead of through a gameplay decision like Civilization and Transoceanic. Population explodes, pollution and crime runs rampant, societal issues ensue if not properly dealt with (which in a way leads us to the next era).
Post Industrial Age (Instead of Flight Age) which is named to reflect the societal effects post the first two industrial eras. You enter it by choosing an ideology similar to Civ 5 with ideologies such as Autocracy, Liberalism, Socialism, Communism, Fascism, Theocracy, and Nativism (basically ideologies that represent both reactionary and progressive ideas that become more loud during this time due to the massive societal effects caused by industrialization). While some of these ideologies may have existed before this era, this is the era where your society fully embraces one of them and tries to use it in either a reactionary way (to stop the excesses caused by modernization and industrialization) or in a progressive way (to solve certain problems while giving more freedoms to certain individuals who might ruin your imperialistic ambitions/power plays, which ultimately might be needed if you want to achieve a conquest or domination victory but maybe not so much if your going a cultural, diplomatic, or scientific route. In fact progressive ideologies would help those later three).
Global Age (Instead of Atomic) is achieved after a certain amount of trade routes is established globally instead of by an individual civ (like Transoceanic), meaning everyone gets bumped up to this era regardless of what era they are currently in. Those from previous eras lagging behind undergo a culture shock instability and production/economic penalty during this bump up due to being technologically disadvantaged when negotiating international agreements with those who managed to keep up. They can and will however be able to advance their tech research rate ten times faster than those who advanced into the era from the Post Industrial Age. Eventually this culture shock will wear out and their research rate will return to normal like the rest of the Global civs.
After Global Age the Information Age would become a thing. However this era is a bit more exclusive in that your civ needs to be connected to the World Wide Web to enter it. Faster research speeds, early automation, and certain societal problems from hate sites and social reclusion are all things of this era. It's basically the Third Industrial Revolution/Last Era if we don't want the game to go past our contemporary era.
If we want the game to include future eras my best guess would be the next age would be either the Biotech Age or Automation Age. Eras after that would likely be based of off how far humans leave the planet like Interplanetary, Interstellar, Galactic, and then Intergalactic. Or if we feel humans shouldn't be measured by outer space (or we feel we'll never accomplish long distance space travel) then subsequent eras could be Nanotech, Transhuman, Posthuman, and finally Cosmic Cthulhu Astral Horror/Discovery that this was all a Simulation/We become God/s Age.