You don't want to use an INNER JOIN in this case as an INNER JOIN will join 2 tables with like values.
sql code:
SELECT * FROM tblFilms
WHERE (Actor1=NAME1 OR Actor2=NAME1 OR Actor3=NAME1 OR Actor4=NAME1)
AND (Actor1=NAME2 OR Actor2=NAME2 OR Actor3=NAME2 OR Actor4=NAME2)
toddy yours wouldn't work because you are checking if tblFilms.Actor1 = Name1 AND tblFilms.Actor2 = Name1 AND etc.....