Here is the full list of all 27 Kazakh 'Jack achievements.
Visited all Socialist Media sites in a single sitting
Listened to a Neo News article
Viewed all Neo News articles
Viewed all online recipes
Safely navigated the Forest of Wooden Precipitation
Dominated the Rogue Shrubs
Fell the Gargantuan Tree
Escorted the Tortoise
Survived the Pit
Captured Semyon
Found Medvedev
Secured the Mecha-Matryoshka
Saved Gorbachev
Saw Mort's workplace accident
Completed the Kompany Training Program under Dekiru's guidance
Cleaned up the Superior National Park of Nature Reservings
Traversed the Neo-Kazakh Semi Desert Region
Explored the Frozen Steppe
Viewed 3 axe designs on the cabin computer
Viewed each throwing axe design on the computer
Cooked a traditional recipe
Purchased viewing rights for all state-approved recipes
Researched 5 mineral samples
Researched all mineral samples
Completed a level without taking damage
Underwent a decontamination process
Gained wisdom by observing all the portraits in one sitting