CureRabbit (Not sure what this is?) - pretty sure thats the white rabbit in uleg, the ice types count as another point, so rabbit, lizard in pso and raptor in uleg.
FlyDark (Not sure what this is?) - dropping like flies BCNM
IceLizard (Not sure what this is?) - as said before lizard in psoxja, take the nue tower entrance.
Mimic (Ones in Pso'Xja don't spawn correctly, probably need to fail lockpicking a coffer with THF but haven't tested) - can do limbus for this
MiniAdam (Not sure what this is?) - the small turtles in gustav
Orobon (Seemingly need to be fished up - haven't tested) - confirmed to be able to be fished up
PetWyvern (Can't find one - the mobs that are supposed to have pet wyverns don't have them on the server) - the fomors ahve wyverns, try outside sacrium
Quadav/Yagudo/OrcNM - any dyna mob should count, the nms in giddeus count, some orc nms should count, quadavs dont afaik, you cant get the 'seed' mobs afaik.
Wyvern/Undead (Not sure - possible spawned by another monster that isn't on the server) - skoffin should count, try the mamooj staging point i think.
Humanoid-Mithra (Have a Corse in Attohwa Chasm use Danse Macabre on a party member and hit them with Knights of Rotund - Corse also Silence and Poison so be careful) - I dont think this works AFAIK, some missons do have you fighting mithras tho like the 3 paths shikaree fight. For hume, maybe the tenzen fight?
CynoprosopiWyrm (Apollyon - not sure if on server) - thats the fafnir in limbus.
Avatar-Carbuncle (Waking the Beast quest - not sure if active on server) - any carb should work, dyna perhaps or carby mitts fight?
A bunch of nms may count as points, such as shiki, despot etc. Boreal Hound counts as one, from Genkai limit break.
DSP database is a useful thing to use:
https://wiki.dspt.info/index.php/Monster_Pool_IDs