I'm not familiar with Aeronef, so I don't know how ships are grouped into larger units. I use "formation" in my suggestions--you can substitute something more appropriate.
Events requiring a turn could be two different cards (one for port and one for starboard), or if that's too much, each card could randomize port or starboard with a die roll.
Events that persist for multiple turns could either be a fixed number (like "2") you've chosen with an eye to balance when writing the card, or a randomized range (like 1D6). I've just called the number of turns "N".
So, based on innumerable false periscope sightings:
Periscope Reported
A periscope has been "sighted" to port/starboard. All ships in one formation must turn together 90 degrees to starboard/port and then move straight for N turns.
Inspired by Goeben's escape to Turkey:
Heroic Stokers
One ship still capable of its original full speed may exceed that speed by 2kts for N consecutive turns.
There's the colossal signal error at Dogger Bank:
Signal Confusion
All ships in a formation must concentrate fire on the single enemy ship nearest the formation for N turns, or until it is destroyed.
How about the BCF's circle at Jutland:
Distracted Admiral
One formation must turn in succession to port/starboard, and continue until it has completed a full circle.
Thanks for asking this--it was fun to think about.