Standard troops:

Soldier: 2/3
+2: Monks, Beasts, Archers, Mages.
(Cavalry, Harpies)

Cavalry: 3/2
+2: Soldiers, Samarai, Archers, Mages.
(Monks, beasts, harpies)

Beasts: 4/1
+2: Cavalry, Zombies, Archers, Mages.
(Soldiers, samarai, harpies)

Mages: 2/1 Get one attack at start of battle
+2: Harpies, Zombies.
(Soldiers, samarai, beasts, monks, samarai)

Archers: 0/3 all have long range.
+2: Harpies.
(Soldiers, samarai, beasts, monks, samarai, zombies)

Monks: 1/4
+2: Cavalry, Zombies, Archers, Mages.
(Soldiers, samarai, harpies)

Samarai: 2/3
+2: Monks, Beasts, Dragons, Archers, Mages.
(Cavalry, harpies)

Harpies: 4/1
+2: Soldier, Samarai, Cavalry, Beasts, Monks.
(Mages, Archers)

Nonstandard troops:

Zombies: 6/2
+2: Soldier, Cavalry, Archers, Samurai, Harpies.
(Mages, Monks, Beasts)

Dragons: 5/5
-2: Samarai.