Here was what I did with the houses that feature in my campaign, as inspiration:
House Tepet: Rome. Tepet is characterized as one of the primary "military" houses before their disastrous defeat in the North, so giving them a military system that worked really well for a really long time made sense to me. I also took cues from Roman foreign policy and have them demand tribute in the form of soldiers, who return with gold and glory to their homelands and often form the backbone of imperial support in those places.
House Peleps: Carthage. Carthage was a naval power, like Peleps, and the description of their scions as often going off on military "adventures" makes me think of Hannibal. Carthage also used huge numbers of mercenaries, which fits Peleps's wide access to Creation and makes use of the wealth they gain from running the West.
House Ragara: Imperial China. Ragara's deep pockets allow it to finance materiel-intensive warfare, which makes the legions that they furnish very dangerous. I used Ragara's legions as the "shield" of the Realm's military, frequently deploying their troops as part of loan agreements they used to draw the other houses into their orbit.
For Lookshy, I instead drew on Greek and Macedonian warfare, given that their servants are called helots, a Greek term. I don't have a high opinion on Lookshy because as written they have a lot of Sparta in them, and if you follow ACOUP you know how bad the Spartans were. It also plays into the sense of "Lookshy is doomed" that canon seems to project sometimes by giving them a military system that ultimately faltered under the Romans in the same way Lookshy might falter when war comes with the Realm.