8. Airbus 2 AP buttons. Boeing 1 AP button (for 3 APs)
That depends on type. The 737 has two buttons for AP engagement and only two autopilots which are capable of CAT IIIb operation, quite similar to the A320 actually, just that the airbus displays CAT 3 single/dual and the boeing LAND3 or LAND2.
Recently i had an unpleasant surprise on the bus, we were preparing for an RNAV (GPS) approach and shortly before the FAF were cleared on a lower altitude and and an intercept heading to intercept behind the FAF. As the next waypoint was the runway a managed approach as briefed and prepared was not possible anymore, whereas on the boeing i still can press my APProach button and happily fly the approach. Of course we switched to selected/selected and flew it just fine for the first few 100 feet until i decided to switch it all off and continue visually.
Added to that the amount of information i can display on the ND is a lot less on the airbus (either CSTR/ARPT, etc. whereas i can display everything i want at the same time on the boeing). Boeing has navigation performance scales on the PFD and ANP/RNP on the ND, airbus has no display of ANP on its main screens, only on the MCDU. I do miss the vertical situation display, especially when approaching or departing airports like Innsbruck or Salzburg and in convective weather where it allows me to have both terrain on the VSD and weather on the map view, but on newer airbii (the whale and A350) it seems to be available as well.