Here is the full list of all 37 NOBUNAGA'S AMBITION: Taishi achievements.
Proof of winning a battle using a trap or military facility (Power Up Kit Only).
Proof of carrying out 30 policies.
Proof that all commerce commands have been used.
Proof of the building of a new castle.
Proof that all agriculture commands have been used.
Proof of using a Colossal Order (Power Up Kit Only).
Proof of upgrading a castle (Power Up Kit Only).
Proof that each of the various policies has been used: agriculture, commerce, military, and debate.
Proof of developing a new facility (Power Up Kit Only).
Proof all records of "NOBUNAGA'S AMBITION: Taishi" were cleared.
Proof Daimyo received wife through a marriage alliance.
Proof of an alliance formed.
Proof of victory in a historical battle.
Proof of victory in a battle on sea or lake.
Proof of victory in a battle as part of a coalition.
Proof a base was upgraded to its maximum.
Proof that all diplomacy commands have been used.
Proof that all disasters have been experienced.
Proof of victory in battle with none of your units retreating.
Proof of victory in battle with an opponent who has more than double the troops.
Proof that 10 deeds have been recorded.
Proof that you held 5 trading regions at the same time.
Proof of victory in 50 major battles.
Proof the scenario
Proof 20 types of strategy have been carried out.
Proof the resolution traits for 5 Daimyo were all unlocked.
Proof a 100,000 gold income was achieved.
Proof Force population reached 1 million.
Proof game was cleared by destroying all Daimyo clans.
Proof of concluding a Lord negotiation (Power Up Kit Only).
Proof of ordering 10 officers to betray in a single play (Power Up Kit Only).
Proof game was cleared in scenario "Siege of Odawara," "The Battle of Sekigahara," and "Siege of Osaka" (Power Up Kit Only).