Here is the full list of all 22 Traditional Tactics Ne+ trophies - there are 11 bronze, 1 silver, 9 gold and 1 platinum.
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You have used Support Card "Point Up".
You have used Support Card "Magical Fight".
You have used Support Card "Full Recover".
You have used Support Card "Don't Counter".
You have used Support Card "Perfect Defence".
You have used Support Card "Can't Support".
You have beated enemy's Soldier.
You have beated enemy's Lancer.
You have beated enemy's Guard.
You have beated enemy's Mage.
You have beated enemy's Healer.
You have cleared the 3rd stage.
You have cleared the 6th stage.
You have cleared the 9th stage.
You have cleared the 12th stage.
You have cleared the 15th stage.
You have cleared the 18th stage.
You have cleared the 21st stage.
You have completed Story Mode within 240 turns and no loss.
You have completed Neon's Challenge Mode within 230 turns and no loss.
You have completed Special Challenge within 70 turns and no loss.