What worked for me is this:
1. I had to edit fallout_default.ini (in the game folder) because I'm starting it from the launcher, to be sure edit both fallout.ini and fallout_default.ini
2. Since the newest patch it seems AII won't work when you add ArchiveInvalidationInvalidated!.bsa to the front list as instructions say
3. What worked for me though is to put it at a later position but still BEFORE the first Textures.bsa (you can copy one of the sound bsa to the front), like this:
SArchiveList=Fallout - Voices1.bsa, ArchiveInvalidationInvalidated!.bsa, Fallout - Textures.bsa, Fallout - Textures2.bsa, Fallout - Meshes.bsa, Fallout - Sound.bsa, Fallout - Misc.bsa
4. Alternatively what I read will work is to rename it to something like "Fallout - AII.bsa" and change the ini accordingly