This has been a fun discussion about the effects of Coriolis on man-made objects. My two cent's regarding flying is you'll never see effects of Coriolis on the aircraft. They're there, because it affects all matter of motion not physically connected to the Earth, but it's going to be orders of magnitudes smaller than other inputs you'll need to make. Any kind of crosswind, for example, will require course corrections that would mask whatever kind of deviation Coriolis would cause.
But moving the discussion on a bit, I would still like a Flat Earth answer to what is presumably Coriolis' effect on the weather. Even if we invoke some Celestial tugging like I've seen in other threads, that only accounts for the largest scales of weather. If we zoom in a bit to the mesoscale, we still see the effects of Coriolis. The most obvious example, of course, are hurricanes. Hurricanes are, simplistically, areas of extremely low pressure. Having already established that atmosphere tends to achieve equilibrium, what we would see is a wind pattern where all vectors are pointing radially inward. This is not what we see in real life though. Coriolis adds another force that pull all wind vectors to the right. Without the Coriolis effect there would be no rotation, no eye wall, and no hurricane.
The one argument I've seen is that gears can spin in opposite directions? Which is fine in the sense that allows for opposite wind circulations on the global scale but hurricanes don't exist on the boundary of global wind patterns. In fact, they have a hard time existing closer than ten degrees north or south of the equator precisely because the effects of Coriolis are so small. They are created well away from the "gear interface" which would cause opposite rotation.
And regardless, we see these effects in sub-tropical cyclones as well, and those are nowhere near the opposing gears of the equator.