Colossuem Cup
Speak with Shinra in the Airship to enter the Colossuem:
Aeon Cup - Capture the appointed fiends and raise all them to become the Aeon.
Chocobo Cup - Win Large Hard Cup twice.
Demon Cup - Capture the appointed fiends and raise all their SL and release them.
Farplane Cup - Win all other Cups.
Large Cup - Win Regular Har Cup once.
Large Cup Hard - Win Large Cup once.
Regular Cuo Hard - Win Regular Cup 3 times.
Sabotenda Cup - Win Large Hard Cup 4 times.
Youth League Cup - Win Large Hard Cup 6 times.
Crimson Sphere
Crimson Sphere 1 - In CH3 when Djose Temple needs your help with fiends, go instead back to Bevelle Underground where you fought Bahamut.
Crimson Sphere 10 - In CH3, go to GuadoSalam and get invited into Logos and Ormi's room to obtain it.
Crimson Sphere 2 - Given to you by Gippal and Nooj after you fall into one of the holes that the fayth made.
Crimson Sphere 3 - Given to you also by Gippal and Nooj after you fall into one of the holes that the fayth made.
Crimson Sphere 4 - Found in Guadosalam inside Chateau Leblanc.
Crimson Sphere 5 - In CH4, go to the engine room of the Celsius when Leblanc is there.
Crimson Sphere 6 - Found in Cloister 0 of the Via Infinito.
Crimson Sphere 7 - Visit the ravine in Mushroom Rock Road in CH2.
Crimson Sphere 8 - Found in Cloister 20 of the Via Infinito.
Crimson Sphere 9 - In CH1, follow Logos and Ormi in Mushroom Rock Road all the way to the ravine.
Unlock Dungeon
Bikanel Central Expanse - Send a Chocobo to Bikanel. This area will be unlocked in Chapter 5.
Den of Woe - Collect all 10 Crimson Spheres to unlock this area.
Fiend Colony - Send a Lv 5 Chocobo to Mihen Highroad.
Ruin Depth - In Chapter 5, send 4 Lv 5 Chocobos to Calm Lands and Clasko will tell you about this dungeon.
Via Infinito - In Chapter 5, find Kinderguardians inside Bevelle, the room with Save Sphere. You should see a new portal by them.
Unlock the Aeon Cup
To unlock the Aeon cup, you must complete the Fiend Tales for the monsters listed in this section. Capture them, get them five levels' worth of EXP, then release them in the Creature History menu to complete their Fiend Tales. Upon release, they evolve into aeons. Once all of these monsters have been attended to, the Aeon cup will be available.
Chapter 1-4 (Besaid Island) - Large trap pod - Flame Dragon (Ifrit).
Chapter 2 (Moonflow, Bevelle, Calm Lands) - Small trap pod - Flan Blanco (Shiva).
Chapter 3-5 (Mi'ihen Highroad, Zanarkand Ruins) - Small trap pod - Mycotoxin (Valefor).
Chapter 5 (Bevelle) - Medium trap pod - Critical Bug (Yojimbo).
Chapter 5 (Bevelle) - Large trap pod - Azi Dahaka (Bahamut).
Chapter 5 (Bikanael Desert - after completing mission) - Large trap pod - Jumbo Cactuar (Magus Sisters).
Chapter 5 - after clearing at least Cloister level 20 (Bevelle) - Large trap pod - Aranea (Anima).
Chapter 5 - after clearing Thunder Plains (Thunder Plains) - Large trap pod - Machina Striker (Ixion).