Ok, here are the names of the demon princes in Armies of the Abyss:
Abaddon - The Destroyer, Minister of Death and Havoc, Lord of the Bottomless Pit, King of Locusts
Abraxas - The Supreme Unknown, King of Pleroma
Anarazel - Guardian of a Thousand Faces, Ruler of the Caves of Chaos
Astaroth - Diabolus, Lord of the Terminal Archive
Azazel - Guardian of the Goat, King of Maldinach, the Desert of Broken Dreams
Azidahaka - The dragon of the Lie, Prince of Sraosha
Behemoth - The Great Beast, Lord of Duidan
Decarabia - Sovereign of the Seventy-Seven Airs, Queen of the Landless Aerie
Eligor - The Goodly Knight, Duke of the Endless Lists
Flauros - The Son of Suns, King of the Bloodprye Fields
Gamigin - The Soulcounter, Master of the Jagged Tor of Final Reckoning
Haagenti - The Ultimate Alchemist, Prince of Cerebulim, the Heremetic Horizon
Ipos - Lord of Masques, Duke of the Festive Everlasting
Marbas - Master of Fetid Change, Lord of the Soaking Canyon of Malignancy
Nocticula - Princess of Moonlight, Queen of Ablinikarn, the Evershifting Vale
Raum - Harbringer of the Apocalypse, Prince of Dizalakine, the Gate of Entropy
Sabnach - The Wormwood Protector, Lord of Restarion, the Rotting Palace
Seere - Patrol of Portals, King of the Final Highway
Shax - The Great Crippling Gaze, Master of Charnelhome
Socothbenoth - Patron of the Tents and Tabernacles of the Daughters, Prince of the Cathedral Thelemic
Vepar - Master of Angry Waters, King of Kolopan, the Seething Passage.
Lesser demon lords, and unaligned princes without realms:
Eurynomus - the Corpse Eater (unaligned)
Malohin - the Strangler (unaligned)
Merihim - guardian, general, confidant and science project of Marbas
Rahu - The Tormentor, surgeon of Azidahaka
Shiggarreb - (unaligned)