I can see you've swapped a few things but still having on-going issue.

Three things to check and/or replace
1. Throttle pedal
2. Brake servo vacuum pump and hose.
3. Oxygen sensors x4

I had minor hesitations before but the O2 sensors was causing it.

__________________
01 E39 530i - SOLD !
05 E53 4.8is


Pics of Bianca (E39) and Betsy (E53)