-Level 5 Monster Cards- ------------------------------------------------------------------------
{PuPu} Win: Complete 'UFO Sightings' side event in Disc Three. Encounter PuPu at Balamb region and give it 5 Elixirs Mod: 1 Hungry Cookpot
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-Level 8 G.F Cards-
------------------------------------------------------------------------ {Chubby Chocobo} Win: Card Queen quest -- Student sitting on a bench outside Balamb Garden's Library Mod: 100 LuvLuvGs
{Angelo} Win: Watts Mod: 100 Elixirs
{Gilgamesh} Win: CC Group quest -- CC Group King at Balamb Garden Dormitory or 3F Bridge Mod: 10 Holy Wars
{MiniMog} Win: Boy jogging around 1F Balamb Garden Mod: 100 Pet Houses
{Chicobo} Win: Complete 'Chocobo Forests' side event in Disc Two or Three Mod: 100 Gysahl Greens
{Quezacotl} Win: Mayor Dobe at Fishermans Horizon Mod: 100 Dynamo Stones
{Shiva} Win: Exchange 'Girl Next Door' magazine for free with Zone aboard White SeeD ship in Disc Three Mod: 100 North Winds
{Ifrit} Win: Defeat Fire Cavern's boss in Disc One Mod: 3 Elem Atks
{Siren} Win: Master Card Player at 2F Dollet Pub Mod: 3 Status Atks
{Sacred} Win: Defeat Brothers in Tomb of Unknown King Mod: 100 Dino Bones
{Minotaur} Win: Defeat Brothers in Tomb of Unknown King Mod: 100 Adamantines
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-Level 9 G.F Cards-
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{Carbuncle} Win: CC Group quest -- CC Group Heart at Balamb Garden 3F Bridge Mod: 3 Glow Curtains
{Diablos} Win: Summon Diablos using 'Magical Lamp' given by Cid in Disc One after Timber mission briefing and defeat Diablos Mod: 100 Black Holes
{Leviathan} Win: CC Group quest -- CC Group Joker at Balamb Garden Training Center Mod: 3 Doc's Codes
{Odin} Win: Defeat Odin at Centra Ruins Mod: 100 Dead Spirits
{Pandemona} Win: Hotel Owner outside Balamb Hotel, after liberating Balamb City from Galbadia in Disc Two Mod: 100 Windmills
{Cerberus} Win: Defeat Cerberus at Galbadia Garden in Disc Two Mod: 100 Lightweights
{Alexander} Win: Piet at Lunar Base or Escape Pod Crash Site in Disc Three Mod: 3 Moon Curtains
{Phoenix} Win: Card Queen quest -- Presidential Assistant in Esthar's Presidential Palace room Mod: 3 Phoenix Spirits
{Bahamut} Win: Defeat Bahamut at Deep Sea Research Center Mod: 100 Megalixirs
{Doomtrain} Win: Card Queen quest -- Aphora Pub owner in Timber Mod: 3 Status Guards
{Eden} Win: Defeat Ultima Weapon at Deep Sea Deposit Mod: 3 Monk's Codes
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-Level 10 Player Cards-
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{Ward} Win: Dr. Odine at Esthar City in Disc Three Mod: 3 Gaea's Rings
{Kiros} Win: Card Queen quest -- Man in black at Deling City's Shopping Arcade Mod: 3 Accelerators
{Laguna} Win: Ellone at Lunar Base in Disc Three Mod: 100 Heroes
{Selphie} Win: Selphie's classmate near gargoyle statue in Trabia Garden Mod: 3 Elem Guards
{Quistis} Win: Any member of the 'Trepies' in Balamb Garden -- the 2 girls in 2F classroom or wishful student at Cafeteria Mod: 3 Samantha Souls
{Irvine} Win: Card Queen quest -- Mayor Dobe's wife, Flo at Fishermans Horizon Mod: 3 Rocket Engines
{Zell} Win: Ma Dincht at Zell's house in Balamb City. Zell must be with you Mod: 3 Hyper Wrists
{Rinoa} Win: Lose Ifrit card to General Caraway, then win Rinoa's card. The lost Ifrit card is with Martine at Fishermans Horizon Mod: 3 Magic Armlets
{Edea} Win: Edea at Edea's Orphanage in Disc Three Mod: 3 Royal Crowns
{Seifer} Win: Cid at Balamb Garden (Disc One and Two) or Edea's Orphanage (Disc Three) Mod: 3 Diamond Armours
{Squall} Win: Laguna at Esthar's Presidential Palace or aboard Ragnarok in Disc Three Mod: 3 Three Stars
Assuming you've done the 'CC Group' side quest in Balamb Garden, the members of the CC Group will reappear aboard the Ragnarok in Disc Four; they should hold almost all the rare cards at this point.