These quests are unlocked by increasing your HR after completing the 8* Urgent "Black Flame of Calamity."

Unlockable	How to unlock
Ring of the Golden Lune- Gold Rathian	HR 25
Ring of the Silver Sol- Silver Rathalos	HR 30
Best of Enemies- Purple Ludroth, Volvidon, Steel Uragaan, Great Wroggi	HR 35
Invisible Predator- Lucent Nargacuga	HR 40
Rage Match- 2 Deviljho	HR 45
Moonlit Tryst- Gold Rathian, Silver Rathalos	HR 50
The Earth Quakers- Pink Rathian, Rust Duramboros, Brachydios, Stygian Zinogre	HR 55
The Sea Shakers- Royal Ludroth, Gobul, Plesioth, Lagiacrus	HR 60
Abyssal Awakening- Abyssal Lagiacrus	HR 70
Four Point Formation- Nargacuga, Barioth, Green Nargacuga and Sand Barioth	HR 80
Heavy Hitters- Black Diablos, Jade Barroth, Duramboros and Steel Uraagan	HR 90
March of Victory- Brachydios, Rust Duramboros, Ivory Lagiacrus and Stygian Zinogre	HR 100