Okay, so I don't have time for anything radical, but here is the updated chamber:
And the list of countries:
Row 1: Amorian Alliance, Assyrian Star Empire, Astronuts, Android Nation, Akkadian Empire of Ultra-Badassery, Bavaria, Czech-Slovenian Republic, Brittannian League, Dracus Empire, Brickville Union, Federation of Extraterrestrial Conquest, Iceworld, Kingdom of Avalon, Mercenary Army of eXtermination, Organization of Lost Dimensions, Praetorian Empire, Republic of Independent Nations, Stranians, Brik End Space Empire, Scarlet Maskirovkas, Space Cops (NGO, observer only), Tyronian Empire, State of Vergilius Raskolnikov, The Wanderers
Row 2: Walter Jacobi Ego Universal Trust, Forty-Fifth Union, Republic of Mauros, North Siberian Space Theocracy, Hy Brasilian Time Empire, Gamma Corps, Inquistadores, Empire of Luchardsko, Benjaminian Republic, The Coalition of Ajax 4, Immortal Empire, Green Rangers of Greeentoppol, Caspian Empire, Lingshan Shogunate, Protoxian Covenant, Volkan Democratic Republic, Kamazian Union, Larrian Alliance, Neo-Prussian Empire, Misanthropic Army of Super-Soldiers, Time Traveling Super Jews, Paladins against the Peaches, Zupponn Mining Co., West Banking Coalition
Row 3:Hammersmith Empire, The Sinned Ones, Police That Unfairly Fight- Like Usually Killing, BIN, United Peach Alliance, VOL, Azteks, Blokbots, Conglomerate of Salt Miners, Oktan Rangers, Calvarian Empire, Kuragin Republic, Union of Soviet Socialist Space Republics
Unlisted: Scythian Empire, Squidhead Dominion, Silvarian Empire, Military of United Nations, United Systems Alliance
When I "finish" this I'll work on the Security Council and the Allied Court of Justice
Also, I've decided to work this like Warhead's Brittannian empire and outsource committee rooms to anyone with free time: DISEC, ECOSOC, SOCHUM, SPECPOL, Administrative and Budget, Legal, Minifig Rights Council, Allied Nuklear Energy Agency, Galactic Health Organization, Galactic Trade Organization, Allied Nations Education, Scientific, and Cultural Organization, Allied Monetary Fund, and the Galactic Bank.
EDIT: OP edited.