JB, you mentioned that the Airbus autopilot modes are a bit better thought out. Interested in your opinion as to why you think that?
Most of the modes are similar. Boeing and Airbus both have vertical speed and heading/track. Managed modes in the AB are approximately the same as LNAV/VNAV. In large part, they're clones of each other.
First big difference that you hit is that the AB will not allow managed vertical mode unless it's in a managed track mode, i.e. if you select heading the vertical mode will also change. When I first moved to the aircraft, I didn't like this, but I've ultimately decided that it makes more sense. The managed path will become increasingly inaccurate the longer you're in heading.
The 777 (and others) can catch people out in what's called the FLCH trap. Basically a mode in which the auto throttle won't wake up when needed. Whilst you shouldn't be reliant upon such automatics, people, especially tired ones, are. This has some level of involvement in the Asiana SFO accident.
The biggest win to AB though, is the way they handle non precision or GPS approaches. Basically, they generate a synthetic ILS (in a mode called FLS). The upshot is that any approach can be made to look like an ILS, with the same procedures and management.
And whilst I love the fact that Boeing thrust levers are driven by the autothrottle, it's interesting to note that it's Boeing that has had a number of accidents in recent times in which thrust lever control has been a direct cause of the accident (Asiana, Turkish, Emirates). I'm tempted to suggest, that like cars, some design features should literally be mandated across all types...in which case I'd have the Boeing throttles with the Airbus TO/GA activation.
On the other hand, Boeing displays what the aircraft is doing in a much clearer manner.
I was thinking about this question in the aircraft last night. Generally I like the way Airbus do their systems, but I like Boeing coughpits. So, I'd get AB to do everything outside of the coughpit, but then get Boeing to actually build it (like a brick ****house). Airbus side sticks, but with proper feedback. Boeing throttles, but with AB TO/GA. Boeing displays and switches. US Navy to write NATOPS style manuals.