Here is the full list of all 10 Nutjitsu achievements worth 1,000 gamerscore. It takes around 3-4 hours to unlock all of the achievements on Xbox One.
Achieve maximum rank.
Outrun 12 foxes that are on your trail.
Complete 50 ninja missions
Finish any game on the Shizuka Woods, Dangai Heights, and Bamboo Glade levels.
Finish any game on the Grey Shrine, Yugure Cemetery, and Ushinatta Marsh levels.
Finish any game on the Redclaw's Castle, Teikoku no Yousai, and Base Camp Shichi levels.
Lose 20 foxes that are on your trail by using Smoke Bombs or Shadow Clones.
Hit 30 foxes with the effects of Freeze Bombs or Fire Shields.
Collect 30 acorns while using Ninja Speed powerups.
Collect 10 acorns.