Establish and hold at least 3 outposts in accretion disks, one in each of the dead star types (black hole, neutron star and boson star) with touristic value
Destroy a same or heavier ship class than yours in combat while it still had its full shields or its armor at 100%. Hint: A one-shot kill isn't a guarantee. You need to get through shields, armor, or both.
Forge and hold trade treaties with all the other empires (minimum 3 player game) for at least 50 turns at one time when playing with the Cerixx affinity