Hi Aviator!
This is a tiny flight simulator based on a Cessna-172R with a G1000 glass cockpit. (This is the plane I fly in real life, so I thought it would be a challenge to see if it can be done with Pico-8.)
The flight model is not based on theory but on my observations as a pilot. I have to say that it's quite good ;-) Within the limits of Pico-8 it quite feels like the real thing.
Disclaimer: while I created the instruments and the flight model, the majority of the programming work was done by @freds72, including 3D outside view, code structure, eye candy, music, etc. Many thanks Fred, this would not have been possible without your ninja programming skills!!
If you want to go flying right away, the cheatsheet will get you in the air in less than 1 minute:

If you are more the serious type, there is a 34-page flight manual, which explains everything in detail and features 20+ flight lessons.

We also created an entire area you can fly in (with a mountain, an island, ships and much more):

Just as a sneak preview, here are some of the things you can do:
Smooth landings

High speed buzzing

Illegal low-level flying at night

Instrument flying in the clouds

Here is the real cockpit on a flight in the Swiss alps to compare:

Update 1.1

fixed polygon gaps
added collision detection for wind turbines

Update 1.2

sub-pixel polygon rasterization
faster textured clouds
fixed ugly crash

Update 1.3

fixed: crash when geometry is fully clipped
added: HUD-mode (player 2 down key to toggle)