There are 22 achievements tracked for NetHack Fourk in the Junethack tournament.
ascended
entered Astral Plane
entered Elemental Planes
defeated a High Priest
performed the Invocation Ritual
defeated Rodney at least once
defeated Vlad
entered Gehennom the front way
defeated Medusa
defeated the Quest Nemesis
get accepted to the Quest
got an Oracle consultation
escaped in celestial disgrace
Assault on Fort Knox (defeated Croesus)
Hoarder (ascended carrying all the invocation items)
ascended without writing Elbereth
Too good for Vladbanes (ascended without defeating Vlad)
Too good for quests (ascended without defeating the quest nemesis)
Too good for... wait, what? How? (ascended without defeating Rodney)
entered the Sokoban Zoo
entered the Minetown Temple
reached the bottom of the Mines