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.
Hit 30 foxes with the effects of Freeze Bombs or Fire Shields.
Collected 30 acorns while using Ninja Speed powerups.
Lost 20 foxes that were on your trail by using Smoke Bombs or Shadow Clones.
Outran 12 foxes that were on your trail.
Collected 10 acorns.
Achieve maximum rank.
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.