Quistis Trepe
Squall
Rinoa
Quistis
Zell
Selphie
Irvine
Laguna
Kiros
Ward
Seifer
Edea

Quistis' Vital Stats by Level
Level
HP
Str
Vit
Mag
Spr
Spd
Luck
1
216 
19 
14 
10
582 
21 
15 
20
980 
15 
11 
14 
13 
22 
15 
30
1370 
21 
16 
20 
18 
24 
16 
40
1753 
26 
20 
25 
22 
25 
17 
50
2127 
31 
23 
29 
26 
27 
18 
60
2494 
36 
26 
33
29 
28 
18 
70
2853 
39 
28 
36 
31 
30 
19 
80
3205 
42 
29 
39 
33 
31 
20 
90
3548 
45 
30 
41 
34 
33 
20 
100
3883 
46 
30 
42 
34 
34 
21 
Quistis' Limit Break: Blue Magic
Blue Magic is basically the same as an enemy skill.  If you're a Final Fantasy veteran, this should seem very familiar.  Final Fantasy V had the Blue Mage job class.  Final Fantasy VI (III in the states) had a character named Gau, who would leap onto the enemies' backs, and learn their attacks.  In Final Fantasy VII, there was an Enemy Skill Materia that enabled a character to learn an enemy skill after getting hit with it.  Obtaining Blue Magic is done a bit differently in Final Fantasy VIII, but the basic idea remains the same.
By finding special items, you can teach Quistis a new Blue Magic skill.  These items can be dropped by or stolen from monsters, made by using the Card Mod ability, or refined from other items.
Blue Magic List
Item Blue Magic Drop/Steal From Card Mod Refine Item
Spider Web Ultra Waves Caterchipiller Caterchipiller N/A
Coral Fragment Electrocute Cockatrice, Creeps, Blitz Creeps N/A
Curse Spike LV?Death Forbidden, Imp, Malboro, Tri-Face Tri-Face N/A
Black Hole Degenerator Gesper, Wendigo Diablos, Gesper N/A
Water Crystal Aqua Breath Chimera, Fastitocalon-F, Fastitocalon, Grand Mantis, Chimera Fastitocalon, Fastitocalon-F N/A
Missile Micro Missile Death Claw, GIM52A N/A N/A
Mystery Fluid Acid Gaylas Gayla N/A
Running Fire Gatling Gun BGH251F2, Iron Giant, SAM08G SAM08G N/A
Inferno Fang Fire Breath Hexadragon, Ruby Dragon Ruby Dragon N/A
Malboro Tentacle Bad Breath Malboro Malboro N/A
Whisper White Wind Adamantoise N/A N/A
Laser Cannon Homing Laser Belhelmel, Elastoid, Mobile Type 8 N/A N/A
Barrier Mighty Guard Behemoth Behemoth N/A
Power Generator Ray-Bomb Blitz N/A N/A
Dark Matter Shockwave Pulsar N/A N/A Curse Spike (100 for 1)
Quistis' Weapons
Chain Whip
Cost: 100 Gil
Atk: 12
Hit: 103
Items Dropped By Stolen From Card Mod
M-Stone Piece (x2) Bite Bug, Funguar, Buel, Jelleye, Glacial Eye, Creeps, Belhelmel, Blobra, T-Rexaur, Bomb, Vysage, Lefty, Righty, Elastoid, Gester, Blitz, Death Claw, Abyss Worm, Gayla, Armadodo (Level 1-19) Bite Bug, Blobra, Buel Bite Bug (1 for 1), Funguar (1 for 1)
Spider Web (x1) Caterchipillar Caterchipillar Caterchipillar (1 for 1)
Slaying Tail
Cost: 200 Gil
Atk: 15
Hit: 104
Items Dropped By Stolen From Card Mod
Magic Stone (x2) Bite Bug, Funguar, Buel, Jelleye, Glacial Eye, Creeps, Belhelmel, Blobra, Geezard, Abyss Worm, Ochu (all abouve Level 20-29), Ochu (Level 1-29) Grat, Buel, Jelleye Grat (1 for 1), Buel (1 for 1), Jelleye (1 for 1 )
Sharp Spike (x1) Grand Mantis, Death Claw Grand Mantis Grand Mantis (1 for 1)
Red Scorpion
Cost: 400 Gil
Atk: 20
Hit: 105
Items Dropped By Stolen From Card Mod
Ochu Tentacle (x2) Ochu Ochu Ochu (1 for 3)
Dragon Skin (x2) Anacondaur, Blue Dragon N/A N/A
Save the Queen
Cost: 800 Gil
Atk: 20
Hit: 107
Items Dropped By Stolen From Card Mod
Malboro Tentacle (x2) Malboro Malboro Malboro (4 for 1)
Sharp Spike (x4) Grand Mantis, Death Claw Grand Mantis Grand Mantis (1 for 1)
Energy Crystal (x4) Elnoyle, Behemoth (rare), Red Dragon (rare, Level 35-100) N/A Elnoyle (10 for 1)