Anima:
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You've seen this aeon. Earlier in the game at the Luca Blitzball tournament,
Seymour Guado summons a huge beast, this beast is Anima. Now it is your turn to acquire this truly powerful and great summon. To obtain Anima is fairly easy. You have to have solved the destruction sphere puzzles in all 6 of the main temples across
Spira. This means that you have to of bused the destruction sphere and acquid a special item in Besaid, Kilika, Djose, Macalania, Bevelle, and Zanarkand
(return after you defeat Lady Yunalesca). Now, if you missed any, don't fret because you can return to all the temples but one( Bevelle), and solve the destruction sphere puzzle.

Once this is complete, enter the arship and enter the co-ordinates X:14 and
Y:60 (move around witht the cursor to enter the co-ordinates). You will also remember this place from the very beginning of the game, when you first entered the world of Spira. That's right you back at some ruins of an ancient temple. Well remember that fish that attacked you earlier in the game,
Geosgaeno? Well it's payback time, equip Tidus, Wakka, and Rikku with Stone- proof armor, and get them on overdrive. The battle can be rough however it shouldn't be. Once you defeat Geosgaeno, you will find yourself in the center of a circular map, swim towards the north to enter Baaj Temple.

If you have solved all of the destruction sphere puzzles you will be able to activate all six of the statue's in front of you, if not then go back and do them. After you activate all six of the statue's the door to the chamber of the fayth will open and you will acquire Anima.

The Magus Sisters:
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This will take a little more time then the others. Once you have defeated the summoner Belgemine for the last time(find her in the calm lands) she will head towards her temple called the Remiem temple, also located in the Calm Lands.
You need a chocobo to get to it though, you will see a yellow feather near the cliff of the entrance from Macalania to the Calm Lands.

Use it to jump over to another area. Enter this area to see Remiem Temple.
Now then, you must go in and defeat Belgemine's aeons all the way to Bahamut and she will hand over the Flower Scepter. Not so fast that is not all you need. Head for the Monster Arena, also located in the Calm Lands. Purchase capture weapons if needed and then head for sacred Mount Gagazet. You must capture all the fiends on Mount Gagazet which are:

Bandersnatch
Ahriman
Dark Flan
Grenade
Grat
Grendel
Bashura
Mandragora
Behemoth
Splasher
Achelous
Maelspike

Once capturing one of all of the fiends, head back to the Monster Arena in the calm lands. Speak with the owner and he will hand ove rthe Blossom Crown.

Great now you have obtained both items you need. Head back to Remiem temple and behind Belgemine you shall see a seal, you will now be able to break both seals by using the items you have obtained, thus allowing you to acquire the
Magus Sisters.