As far as I can see this question (surprisingly?) has not been asked before - unless I am failing to spot an equivalent question due to lack of experience. (Similar questions h
Using list comprehension should work as:
new_list = [[i for i in l if i not in list_A] for l in list_of_list]
After that, if you want to remove empty lists, you can make:
for i in new_list:
if not i:
new_list.remove(i)
of, as @ferhatelmas pointed in comments:
new_list = [i for i in new_list if i]
To avoid duplicates in list_A
you can convert it to a set before with list_A = set(list_A)