Wiktionary

List of forms of government
-cracy: rule – from the suffix -κρατία (kratia), from κράτος (kratos, “power, rule”)
-archy: form of government or rule
acracy, adhocracy, albocracy, anarchy, androcracy, anemocracy, angelocracy, antarchy, argentocracy, aristarchy, aristocracy, arithmocracy, autarchy, autocracy, barbarocracy, beerocracy, biarchy, binarchy, bureaucracy, cannonarchy, capelocracy, chiliarchy, chirocracy, chromatocracy, chrysoaristocracy, chrysocracy, corpocracy, cosmarchy, cottonocracy , cryptarchy, decadarchy, decarchy, demarchy, democracy, demonarchy, demonocracy, despotism, despotocracy, diabolocracy, diarchy, dictatorship, dinarchy, dodecarchy, doulocracy, duarchy, dulocracy, dyarchy, ecclesiarchy, endarchy, ergatocracy, ethnarchy, ethnocracy, exarchy, foolocracy, gerontocracy, gunarchy, gymnasiarchy, gynaecocracy, gynarchy, gynocracy, hagiarchy, hagiocracy, hamarchy, hecatarchy, hecatontarchy, hendecarchy, heptarchy, heroarchy, hetaerocracy, heterarchy, hierarchy, hierocracy, hipparchy, hoplarchy, hyperanarchy, hyperarchy, iatrarchy, infantocracy, isocracy, jesuitocracy, juntocracy, kakistocracy, kleptocracy, kritarchy, landocracy, logocracy, matriarchy, meritocracy, merocracy, mesocracy, metrocracy, millionocracy, millocracy, mobocracy, monarchy, moneyocracy, monocracy, myriarchy, navarchy, neocracy, nomocracy, ochlocracy, octarchy, oligarchy, paedarchy, paedocracy, panarchy, pantarchy, pantisocracy, paparchy, papyrocracy, parsonarchy, partocracy, patriarchy, pedantocracy, pentarchy, phallocracy, philosophocracy, phylarchy, physiocracy, pigmentocracy, plantocracy, plousiocracy, plutarchy, plutocracy, polarchy, policeocracy, pollarchy, polyarchy, polycracy, popocracy, pornocracy, prophetocracy, psephocracy, ptochocracy, punditocracy, quangocracy, rotocracy, septarchy, shopocracy, slavocracy, snobocracy, sociocracy, squarsonocracy, squatterarchy, squattocracy, squirearchy, squirocracy, statocracy, stratarchy, stratocracy, strumpetocracy, synarchy, technocracy, tetradarchy, tetrarchy, thalassiarchy, thalassocracy, thearchy, theatrocracy, theocracy, timarchy, timocracy, triarchy, tritarchy, tritheocracy, Whiggarchy, xenocracy