Here is the full list of all 13 Katana Kata achievements worth 1,000 gamerscore.
Kill your first bandit.
Kill your first sumo warrior.
Kill your first samurai.
Break your weapon for the first time.
Meet your death for the first time.
Kill your first karate warrior.
Kill your first bathing bandit.
Kill your first armored samurai.
Kill your first ninja.
Kill your first monk.
Kill your first master.
Find and collect six types of weapons.
Reach maximum level.