List of possible lineups:
1. Archer Commander(ArchCom):
Concept: use the high attack power of archers, eliminate enemy VP within 1 or 2 turns.
Pros: high output, ranged, low skill requirement.
Cons: fragile, rather slow rage refill.
Core: Nobunaga.
Recommended: Nelson, Li Hongzhang, Jhansi. (2/3 out of 3)
Commonly Used: Montezuma, Catherine, Jebe, Yi Sun-sin, Pachacuti.
Other Types: Blucher, Saladin, Barbarossa, Bismarck, Cleopatra, Li Shimin.
Recommended IAP: Washington, Napoleon.
2. Cavalry Commander(CavCom):
Concept: use the mobility ability of cavalry, mop up the entire map ASAP.
Pros: high mop-up ability, strong individual stats, fast in campaigns leads to time for rest&recovery, permanent skill activation.
Cons: fragile against archers, weak in AI-controlled missions, melee.
Core: Attila.
Recommended: Asoka, Edward. (1/2 out of 2), Blucher.
Commonly Used: Shingen, Hannibal, Saladin, Huo Qubing, Suriyothai.
Other Types: Nobunaga, Montezuma, Bismarck, Cleopatra, Li Shimin.
Recommended IAPs: Genghis Khan, Napoleon.
3. Infantry Commander(InfCom):
Concept: use the high survival ability of infantry, to gain victory step-by-step.
Pros: takes punches, 5 commanders maximum.
Cons: weak output without commander, slow rage refill, melee, fragile against cavalry.
Core: Caesar.
Recommended: Barbarossa, Petain, Peter.
Commonly Used: Richard, Alexander, Xerxes, Spartacus, Joan of Arc.
Other Types: Saladin, Blucher, Nobunaga, Montezuma, Cleopatra, Li Shimin, Bismarck.
Recommended IAP: Napoleon.
4. Artillery Commander(ArtyCom):
Concept: use the high damage against fort to destroy enemy VP rapidly.
Pros: long range, high anti-fort damage, tons of health.
Cons: weak in melee, only 2 commanders, weak against human.
Core: Heihachiro, Khalid, Cleopatra.
Recommended: Li Shimin, Bismarck.
Other Types: Saladin, Blucher, Nobunaga, Montezuma.
Recommended IAP: Napoleon.
5. Balanced
Concept: has all 4 kinds of units, doesn't have any weak ones to go against.
Pros: targets any kind of enemy, no significant weakness, little rage requirement.
Cons: almost 0 explosiveness.
Recommended: Nobunaga, Yi Sun-sin, Saladin/Blucher.
Commonly used: all generals mentioned in this post excluding the ones heavily dependent on leader skill.
Recommended IAPs: all.