The trophy is called Synthesis Master. You must Synthesize all items in the Moogle shop.that includes Donald and Goofy new weapons.
This list was made by meep2meep on the khinsider fourms
*indicates new Final Mix enemy [ total # needed]
Materials:
[19] Lucid Shard: Shadow, Giant Shadow, White Mushroom [Gravity Spell]
[13] Lucid Gem: White Knight, Gargoyle, White Mushroom [Gravity Spell]
[09] Lucid Crystal: Dark Ball
[12] Spirit Shard: Soldier, Large Body, White Mushroom [Aero Spell]
[07] Spirit Gem: Air Soldier, White Mushroom [Aero Spell]
[13] Power Shard: Power Wild, Bouncy Wild, White Mushroom [Stop Spell]
[11] Power Gem: Pirate, Air Pirate, Battleship, White Mushroom [Stop Spell]
[03] Power Crystal: Wyvern
[12] Blaze Shard: Red Nocturne, White Mushroom [Fire Spell]
[08] Blaze Gem: Bandit, Fat Bandit, White Mushroom Fire
[10] Frost Shard: Blue Rhapsody, White Mushroom [Blizzard Spell]
[08] Frost Gem: Sea Neon, Sheltering Zone, White Mushroom [Blizzard Spell]
[12] Thunder Shard: Yellow Opera, White Mushroom [Thunder Spell]
[13] Thunder Gem: Screwdiver, Aqua Tank, White Mushroom [Thunder Spell]
[03] Shiny Crystal: Wizard
[14] Bright Shard: Green Requiem, White Mushroom [Cure Spell]
[08] Bright Gem: Search Ghost, White Mushroom [Cure Spell]
[04] Bright Crystal: Defender
[10] Mystery Goo: White Mushroom [3X Spell], Black Fungus, Rare Truffe, Pink Agaricus*
[04] Gale: Invisible, Angel Star
[08] Mythril Shard: Pot Spider, Barrel Spider, Pot Scorpion*, Arc Behemot*
[13] Mythril: Synthesis and some chest in the game have them as well
[19] Orichalcum: Traverse Town item shop post Hollow Bastion
New Materials:
[05] Fury Stone: Giant Shadow*
[05] Power Stone: Sniper Wild*
[06]Energy Stone: Stealth Soldier*
[07]Blazing Stone: Chimaera*
[07] Frost Stone: Grand Ghost*
[05]Lighting Stone: Black Ballade*
[06] Dazzling Stone: Jet Balloon*
[07] Serenity Power: Pink Agaricus*
[04] Stromy Stone: NeoShadow*
[08] Mythril Stone: Pot Scorpion*
[14] Dark Matter: Synthesis,In game chests
Recipes:
Mega-Potion: Spirit Shard x 1, Power Shard x 1, Mythril Shard x 1
Cottage: Lucid Shard x 1, Bright Shard x 1
Energy Bangle: Spirit Shard x 1, Bright Shard x 2
Power Chain: Power Shard x 2, Lucid Shard x 1
Magic Armlet: Blaze Shard x 3, Frost Shard x 3, Thunder Shard x 3
EXP Earring: Fury Stone x 1, Power Stone x 1, Mythril Stone x 1, Serenity Power x 1, Dark Matter x 3
Mega-Ether: Blaze Shard x 1, Frost Shard x 1, Thunder Shard x 1, Mythril x 2
Guard Earring: Bright Shard x 3, Frost Shard x 1, Mythril Shard x 3
Angel Bangle: Thunder Shard x 3, Bright Gem x 1
Golem Chain: Blaze Shard x 3, Spirit Gem x 1
Rune Armlet: Blaze Gem x 3, Frost Gem x 3, Thunder Gem x 3
Moogle Badge: Blazing Stone x 1, Frost Stone x 1, Lighting Stone x 1, Mythril x 5, Orichalcum x 3
AP Up: Blaze Gem x 2, Frost Gem x 2, Thunder Gem x 2, Mythril x 4
Dark Ring: Lucid Gem x 2, Bright Gem x 2
Master Earring: Spirit Shard x 5, Spirit Gem x 3, Fury Stone x 1
Gaia Bangle: Lucid Shard x 5, Lucid Gem x 3, Lighting Stone x1
Titan Chain: Power Shard x 5, Power Gem x 3, Fury Stone x 1
Mythril: Mythril Shard x 5, Mythril Goo x 1, Mystery Goo x 1
Elixir: Power Crystal x 1, Shiny Crystal x 1, Bright Crystal x 2, Orichalcum x 3
Defense Up: Lucid Shard x 3, Bright Shard x 3, Bright Gem x 2, Power Crystal x 1, Orichalcum x 5
Heartguard: Lucid Gem x 3, Lucid Crystal x 1, Bright Crystal x 1
Three Stars: Power Gem x 5, Mystery Goo x 3, Shiny Crystal x 1
Atlas Armlet: Blaze Shard x 5, Frost Shard x 5, Thunder Shard x 5, Mystery Goo x 1, Dark Matter x 3
Crystal Crown: Lucid Crystal x 5, Power Crystal x 1, Shiny Crystal x 1, Blazing Stone x 3, Frost Stone x 3
Dark Matter: Lucid Shard x 9, Gale x 1, Mythril x 2
Mega Elixir: Lucid Gem x 5, Lucid Crystal x 3, Gale x 2, Dark Matter x 1
Power Up: Spirit Shard x 5, Spirit Gem x 3, Power Shard x 5, Power Gem x 3, Dark Matter x 1
Cosmic Arts: Bright Shard x 5, Bright Gem x 3, Bright Crystal x 1, Mythril Stone x 3
EXP Bracelet: Energy Stone x 1, Dazzling Stone x 1, Stormy Stone x 1, Orichalcum x 8, Dark Matter x 3
Ribbon: Blaze Gem x 3, Frost Gem x 3, Thunder Gem x 3, Gale x 1, Serenity Power x 3
Fantasisa: Fury Stone x 3, Power Stone x 3, Mythril Stone x 3,Energy Stone x 5
Seven Elements: Blazing Stone x 3, Frost Stone x 3, Lighting Stone x 3,Dazzling Stone x 5
Ultima Weapon: Thunder Gem x 5, Mystery Goo x 5, Serenity Power x 3, Stormy Stone x 3, Dark Matter x 3