I was having a discussion with a colleague about what aircraft qualify for logging complex time. We were discussing whether or not time flying transport-category turbojet aircraft qualified as complex according to the regulations. It's probably irrelevant at that point in a career, but my interpretation is that turbojet aircraft are not complex. 14 CFR 61.1 defines a complex aircraft as one having a retractable landing gear, flaps, and a controllable pitch propeller. It goes on to give some provisions for control computer or FADEC, but it still mentions propellor controls. In turbojet aircraft you just set the throttle, even if there are a lot of computer-controlled variables changing in the engine.
While it's not a jet, the Daher-Socata TBM 900 single-engine turboprop airplane has a single throttle quadrant and an automatically controlled propeller. It's still considered complex under the regulations even though there's no lever to adjust the prop and it's still complex. I give this example only because it has a single throttle lever and is still complex.
I'd love to get more interpretations on whether turbojet aircraft are technically complex according to the definitions of 14 CFR 61.