CPS1 no bios
CPS2 no bios but mame does store other chips outside the main rom files, the sound chip I'm thinking of
Not sure if CPS3 uses bios images or not but they do use CHD's in Mame that may not be done via FBA if FBA does indeed support CPS3 now (a little out of date myself now)

All can be different between MAME and FBA

NeoGeo does indeed use a bios image and chances are that will also be different

MAME is the main issue because they update all the time with new dumps of games that are already in there list including bios image