Biremes and Triremes and even Hexaremes seemed all the rage in antiquity, but by they no longer seem to appear in any records later on. Even the famed Venetian galleasses, known for resembling huge floating fortresses, only had one deck of oars. Why was this the case?
I attempted to answer a very similar question here: Why did Europeans stop building polyremes and other massive ship during the Middle Ages?
To sum up, once Romans 'secured' the Mediterranean to the point no other nation deployed 'multi-decked war galleys' they stopped using those themselves, in favor of (already in use) smaller, faster, nimbler and presumably more cost-effective smaller single level oar vessels like e.g. liburnias. Those later evolved by their own path into the dromon and then the Renaissance war galley, and in these changes they kept the single level oars