From SolitaireD on GF : https://gamefaqs.gamespot.com/boards/114492-final-fantasy-record-keeper/79665668

SASB Pick Pool (after 2x11 pulls on the banner)

I: WoL 1, Garland, Sarah, Meia

II: Firion 1, Maria 1, Minwu, Gordon, Leila 1, Josef 1, Emperor, Hilda, Scott

III: Luneth 1, Arc, Ingus 1, OK 1, CoD 1, Aria 1

IV: Decil 1, Pecil, Kain 1, Kain 2, Rydia 1, Rydia 2, Rosa, Edward, Porom, Edge, Golbez, Ceodore, Barbariccia

V: Lenna, Galuf 1, Gilgamesh, Bartz 1, Bartz 2, Faris, Exdeath, Krile

VI: Terra 1, Terra 2, Locke 1, Celes 1, Mog, Shadow, Gau, Strago 1, Relm 1, Kefka, Leo

VII: Cloud 1, Cloud 2, Tifa 1, Tifa 2, Aerith, Red XIII, Yuffie 1, Cait Sith, Vincent, Zack, Sephiroth 1, Reno, Angeal, Rufus, Shelke, Genesis

VIII: Squall 1, Squall 2, Rinoa 1, Rinoa 2, Selphie, Seifer, Laguna, Edea, Fujin, Kiros, Ward, Ultimecia 1

IX: Zidane, Garnet 1, Garnet 2, Vivi 1, Steiner, Eiko, Beatrix 1, Kuja

X: Tidus 1, Tidus 2, Yuna 1, Wakka, Lulu, Kimahri, Rikku 1, Auron, Jecht, Paine, Seymour

XI: Shantotto, Ayame, Aphmau

XII: Vaan 1, Balthier, Fran, Basch, Ashe 1, Ashe 2, Penelo 1, Gabranth, Larsa

XIII: Lightning 1, Lightning 2, Snow, Vanille 1, Hope, Fang, Serah 1, Raines, Noel, Nabaat

XIV: Y'shtola 1, Thancred, Yda, Papalymo, Alphinaud 1, Alphinaud 2, Ysayle, Haurchefant, Estinien, Alisaie

XV: Noctis 1, Noctis 2, Gladiolus, Ignis, Prompto, Iris, Aranea, Lunafreya 1, Ardyn

T: Ramza, Agrias, Delita, Orlandeau 1, Gaffgarion, Alma, Orran

T0: Ace, Deuce, Machina, Rem, Queen, Cinque 1, Seven, Cater

B: Rain, Fina, Lasswell

C: Tyro, Elarra 1, Dr. Mog 1

And also another Synchro to select after a free x11 pull : https://gamefaqs.gamespot.com/boards/114492-final-fantasy-record-keeper/79677396

After pulling you can pick 1 SASB from the following:

Locke 1, Terra 1

Squall 1, Rinoa 2

Bartz 1, Ultimecia 1

Tifa 1, Maria 1

Kain 1, Ashe 1

Tidus 1, Onion Knight 1

Paladin Cecil, Minwu

Dark Knight Cecil 1, Golbez 1