Republic of the French Southern Territories (French Polynesia, New Caledonia)
Government in Exile: It's the driving force behind the "Seventh Republic" movement and is seeking to live up to becoming the legitimate representative of France...despite not actually having any territory in the former homeland.
Legion of Lost Souls: The Foreign Legion (the ones in the area in any rate) are pretty much the base of its army.
The Remnant: The government tends to see itself as this to France.
Vestigial Empire: It was formed from whatever was left of the French government overseas.
It's shown however that Liechtenstein and the various constituent states/cantons from Austria and Switzerland have actual representation in the Confederation Government. Although the ruling Council is appointed proportionally to each Statelet.
Cadre of Foreign Bodyguards: The Alpine Guard, a modified version of the pre-Doomsday Swiss Guard (whose ranks now extend to any Confederation citizen meeting its criteria) that's been serving The Pope since the Vatican restored ties with the Alps.
Crazy-Prepared: Part of the reason why the Alpines were able to weather the initial post-Doomsday years.
Hegemonic Empire: The Alpines themselves continue to uphold Swiss-style neutrality and would rather let their network of allies and neighboring survivor-communities do the actual fighting. On the other hand, it's shown that they do have a powerful military on standby "just in case."
The Kingdom: Liechtenstein, which is not only still a Principality but has also become the center of the Confederation. With Vaduz as the official Alpine capital.
Old Shame: Their actions in the immediate years after Doomsday may count.
Yodel Land: A predominant perception of the Alpines, due in no small part to the Swiss and Liechtensteiner countryside largely spared from the chaos of Doomsday.
Interim Government of the Portuguese Islands (Portugal)
Due to the Dead: The Portuguese turn the ruins of Lisbon into a memorial site, seeing it as a rather painful reminder of all that they've lost.
Vestigial Empire: Claims all of pre-Doomsday Portugal, although it at best controls a handful of coastal outposts and frontiers. At one point, Brazil (its former colony) even offered to incorporate it. Despite that, it's also described as a major European power and one of the more powerful factions in the post-apocalyptic Iberian peninsula.
Sicilian Republic (Sicily/Southern Italy)
The Empire: In their corner of Europe at any rate.
Fascist Italy: The Sicilians contain shades of Mussolini's old regime.
Expy: It's essentially a post-apocalyptic take on the European Union.
Government in Exile: A group of survivors from parts of Alberta and Saskatchewan have proclaimed themselves the legitimate government of Canada...which makes their relationship to the one based from St. Johns a bit complicated.
Injun Country: The Navaho and Lakota established their own survivor-nations, which have considerable influence within the NAU.
Utah: The Commonwealth of Deseret is one of its more recent (and prominent) members.
The Remnant: Sees itself as this to the pre-Doomsday USA.
Scavenger World: A large proportion of the country was formed from scattered survivor communities and by beating back warlords.
Vestigial Republic: Played with. The "new" Americans claim all of the old Continental US, though the government initially held only on a handful of states, including those made out of outlying survivor communities. But with its growing clout and (relatively) peaceful expansion, they may not be "Vestigial" for too long.
Municipal States of the Pacific
It Got Better: It was largely a chaotic mess before the ANZ Commonwealth showed up.
The Other Rainforest: Most of it is around the Pacific Northwest and includes bits of northern California.
Cozy Catastrophe: Not truly cozy, as it still had the normal issues following Doomsday, but the fact that it had a relatively stable government after Doomsday and had almost the entire western portion of Canada's (former) military under it's control also at the time puts it in here compared to most of the nations in North America.
Pintsized Powerhouse: Is considered one of North America's premier powers, yet has only about two million people.
The Other Rainforest: Is located mostly in this region (including the Washington territories), but significant portions are located in the interior of British Columbia.
The Mafia: This city is the center of the Mafia in the former United States and Canada post-Doomsday.
Republic of Lincoln
Cult: A religion has sprouted out around Abraham Lincoln. Though it's justified in that Lincoln's inhabitants are described as being desperate to cling onto some piece of old America.
Eagleland: Its people are trying to carry on Honest Abe's memory after all.
Name's the Same: Shares the same name as its counterpart in the restored US mentioned above.
Republic of Virginia
Eagleland: Or rather, what America would look like if the military ran the government.
Military Coup: Pretty much how the intact parts of Virginia were brought into line.
People's Republic of Tyranny: Subverted. While Virginian society is militaristic and the army still has considerable influence, the survivor state is nonetheless trying to make the transition back into American-style democracy.
Well-Intentioned Extremist: The US military remnants sought to restore order and some semblance of the old America, even if it meant establishing a militarized survivor nation.
Yanks with Tanks: The 101st Airborne under General Thompson survived Doomsday and were in many ways responsible for restoring order in their part of the former US. The "Screaming Eagles" eventually became Virginia's elite military corps.
Rightful King Returns: the old Ottoman Sultans made a comeback after Doomsday...although they're more liberal and willing to keep at least some of the old republic's ideals.
It Got Better: Despite the turmoil, the Egyptians held together. Although the Greek settlements to the north aren't exactly helping relations.
Badass Israeli: During Doomsday, an Israeli pilot literally went kamikaze to make sure a nuclear weapon exploded over the ocean next to Tel Aviv instead of over it. Sure, Tel Aviv still got damaged from the resulting tsunami, but this probably saved quite a few lives.
The Holy City: Avoided destruction on Doomsday due to the nuclear missile intended to hit it not exploding.
Realm of New Britain (New Britain)
Cult: A few sprung up in the intervening years. The most significant ones however are Albionism and the Cult of the Once and Future King, both of which revere in some form or another King Arthur, the Royal Family and Britain itself.
Culture Chop Suey: By the present, the New British have increasingly taken in a fair deal of Afrikaner/Boer influence (with Afrikaans being widely spoken) along with a general African veneer.
Going Native: Though the New British still uphold their identity, within only 30 years since Doomsday there are already signs of this trope happening to them.
The Remnant: A good chunk of its population came from the UK, including what's left of the Royal Family.