Damage Done by NPC's:

Angel Cartel = Explosive (Primary)
Amarr Navy = EM/Thermal
Ammatar Fleet = EM/Thermal
Blood Raiders = EM/Thermal
Caldari Navy = Thermal/Kinetic
EoM = Thermal/Kinetic
Gallente Navy = Kinetic/Thermal
Guristas = Kinetic/Thermal
Khanid Navy = EM/Thermal
Mercenary = ALL TYPES (Kinetic/Thermal)
Mordu's Legion = Kinetic/Thermal
Odamian = Kinetic/Thermal
Rogue Drones = Explosive (Primary)
Republic Fleet = Explosive (Primary)
Sansha = EM/Thermal
Serpentis = Thermal/Kinetic
The Syndicate = Kinetic (Primary)
Thukker Tribe = Explosive (Primary)

Best damage to do to NPCs:

Angel Cartel = Explosive
Blood Raiders = EM/Thermal
Caldary Navy = Kinetic
EoM = Kinetic
Guristas = Kinetic
Mercenary = Thermal
Mordu's Legion = Thermal/Kinetic
Rogue Drones = EM
Sansha = EM/Thermal
Serpentis = Thermal/Kinetic
The Syndicate = Kinetic/Thermal
Thukker Tribe = Explosive