Srjumbo, on the surface, a not unreasonable question and, on the surface, reasonable but protective replies.
A "grey" area because most airlines do not regard the FD as an extention of the passenger cabin. Definitely, after 9-11, very strict rules were imposed regarding even "access" to the FD, let alone general carriage for pax.
It is "grey" because old-school Captains will regard the entire aircraft as "their" aircraft and enjoy thinking outside of the box in modifying rules, specially when away from Base.
I do not think you will get a list of airlines that allow friends and family on the FD, if indeed, there are any.