Brainstorming new approaches to victories in Civilization

Recently, I brainstormed the possibility of redesigning Beyond Earth's winstates in order to support cooperative victories. With Civilization VI having been announced last month, I want to take some time to look at some different ways to approach victories in the mainstream Civilization games. Since Civilization III, there have been five victory types that have appeared in every mainstream Civ game:

• the military victory = kill or conquer everyone else
• the science victory = build a space ship to Alpha Centauri
• the culture victory = accumulate the most culture yield (usually through wonders)
• the diplomatic victory = vote for yourself to be leader of the United Nations
• the score victory = if no other victories are met by a certain number of turns, the civ with the highest score wins.

Earlier games had fewer victories (only military and space race), but there have been other victory types as well. Civ III and IV had a victory that simply required the player to occupy a majority of the map's land area and population (which could be achieved via military conquest and/or relatively peaceful expansion). I liked this victory type because it facilitated role-play by allowing me to grow my empire organically without having to feel like I was constantly meta-gaming for one of the other victories - just keep growing by whatever means are necessary or convenient. Civ IV also had a religious victory that required you to convert other players to your religion and then get them to elect you to be Pope or whatever. Civ: Revolution and the board game even included an economic victory in which you must accumulate a certain amount of wealth tokens. This was different than the "economic victory" of Civ V, in which you save up enough money to buy out the alliance of every city state on the turn before a U.N. election.

Civilization IV included a religious victory [LEFT], and the board game includes an economic victory [RIGHT].

These victories are intended to provide a direct path to victory using each of the major fundamental gameplay styles. But are there other methods?...