Here is the full list of all 23 Total War Battles: SHOGUN achievements.
Complete all skirmish battles in Shogun difficulty.
Complete all the campaign levels with a 3 star rating.
Purchase all the upgrades for one building.
Complete the campaign.
Complete all the campaign levels.
Complete all challenges.
Complete all skirmish battles in Hard difficulty.
Promote the same unit twice using the Veteran order.
Complete all skirmish battles in Normal difficulty.
Complete the second chapter.
Complete a survival level as your general is being attacked.
Complete the first chapter.
Spot 3 or more Ninja with the same Monk unit.
Destroy a building using a Cannon.
Move a Cannon into the enemy's base.
Sneak through an enemy unit with a Ninja.
Kill 5 or more enemy units with the same Samurai unit.
Deploy an elite unit.
Complete a side level in the campaign.
Complete a skirmish battle in any difficulty.
Purchase your first upgrade.
Complete a campaign level with a 3 star rating.
Achieve your first victory.