Damage types to tank for:
Gallente Navy - KI/TH
Amarr Navy - EM/TH
Caldari Navy - KI/TH
Minmatar Republic Fleet - EX/KI

Amar (EoM) - KI/TH
Arch Angels (Gisti/Gistum/Angel) - EX/KI
Blood Raiders (Corpi/Corpum/Blood) - EM/TH
Sansha's (Centi/Centum) EM/TH

Mordus (Mordus) - KI/TH
Serpentis (Serpentis) - KI/TH
Thukker (Thukker) - EX/TH/ a little KI
Ammatar (Ammatar) - EM/TH
Khanid (Khanid) - EM/TH

Pirates (Guristas/Pithi) - KI-TH
Drone (Alvi) - EX/ KI andor TH
Unkown (Mercenary) - KI/TH

Below is the two types of resistence the faction is most weak against. Weakest will be listed first, followed by second weakest. The listed damage types are what you should be attacking the appropraite faction with.

Gallente Navy - KI/TH
Amarr Navy - TH/KI
Caldari Navy - TH/KI
Minmatar Republic Fleet - TH/KI

Amar (EoM) - KI/TH
Arch Angels (Gisti/Gistum/Angel) - EX/TH
Blood Raiders (Corpi/Corpum/Blood) - EM/TH