Angel's Bane (10 Points)
Achivement Rewards: Banner Shape (Triumphant)
Kill Rakantoh on Normal Difficulty

Additional difficulties:
Nightmare (Banner Accent: Demon Horns)
Hell (Banner Patter: Target)
Inferno (Banner Pattern: Despair)

Rakanoth is located in the Library of Fate in Act IV

The Prime Evil (10 Points)
Achievement Reward: Banner Shape (Diablolical)
Kill Diablo on Normal Difficulty

More Difficulties:
Nightmare (Banner Accent: Flames)
Hell (Banner Pattern: Dark Cracks)
Inferno (Banner Sigil: Diablo)

Diablo is located in the Crystal Arch, at the end of Act IV (the end of the game)

The Garden of Heavenly Delights (10 Pts)
Explore the following areas in the Gardens of Hope:
The Diamond Gates
The Vestibule of Lights
Gardens of Hope 1st Tier
Library of Fate
Hell Rift

The Crown of Heaven (10 Pts)
Explore the following areas of the Silver Spire
The Crystal Colonnade
Gateway to the Silver Spire
The Silver Spire Level 1
The Great Span
The Silver Spire Level 2
The Pinnacle of Heaven

Such Great Heights (10)
Achievement Reward: Banner Sigil (Wanderer)
IMPORTANT: Read the following guide for the location of these dungeons - Diablo II Act 4 Random Dungeon Guide
Explore the following dungeons in Act IV:
Blessed Chancel
Holy Sanctum
Radiant Chapel
Sacellum of Virtue

Wanderer of the High Heavens (10)
Achievement Reward: Banner Accent (Pipe)
Complete the Act IV Exploration Achievements listed below:
The Garden of Heavenly Delights
The Crown of Heaven
Such Great Heights

Know it All (10)
Read the following people lore books in Act IV
Burial Wishes
The Angiris Council
Archangel Aurial, the Aspect of Hope
Archangel Imperius, the Aspect of Valor
Archangel Itherael, the Aspect of Fate
Archangel Malthael, the Aspect of Wisdom
Archangel Tyrael, the Aspect of Justice
Izual's Descent

Archival Studies (10)
Read the following Quest Lore Books in Act IV:
The Destiny of the Nephalem, Part 1
The Destiny of the Nephalem, Part 2
The Destiny of the Nephalem, Part 3

Historian of the High Heavens (10)
Read the following World lore books in Act IV:
The Creation of Sanctuary, Part 1
The Creation of Sanctuary, Part 2
The Creation of Sanctuary, Part 3
The Creation of Sanctuary, Part 4

Beastmater of the High Heavens (10)
Achievement Rewards: Banner Sigil (Owl)
Read the following Bestiary Lore Books in Act IV
Armored Destroyer, Bile Crawler, Enslaved Nightmare, The Mallet Lords, The Oppressors, Terror Demon, Morly, Shadow Vermin, Subjugator, Rakanoth, the Lord of Despair

Victory and Sacrifice (10)
Achievement Rewards: Banner Shape (Ascending)
Complete all quests in Act IV:
Fall of the High Heavens
The Light of Hope
Beneath the Spire
Prime Evil