When one side has a large force of blimbs designed & trained solely as anti-submarine attack platforms and the other side has a large force of submarines, why do you think a battle between them is “bizarro”? More like totally routine.
If what you really mean is that such battles are uncommon today, then I suggest you ought to consider how bizarro it was that in the 1600s large masses of men fought using sharp sticks!. Some were wood, some were iron, but all were sharp sticks.
To answer your drone question, there are not yet air-to-air unmanned combat aircraft. But development of unmanned ground attack aircraft are well underway, and air-to-air will only be a couple decades behind. Google [UCAS] or [UCLASS] or [UCAV] for more.
Depending on your definitions, a missile is a flying machine without a pilot. And missiles which attack other missiles in flight date back 20 or more years now.