Consulta SQL para encontrar filas con al menos uno de los valores especificados

Puedes usar EXISTS o IN subconsultas:

SELECT *
FROM MOVIES m
WHERE EXISTS
(
    SELECT *
    FROM ACTORS a
    WHERE a.MovieId = m.MovieId
    AND a.ActorName IN ('Tom Hanks', 'Russell Crowe', 'Arnold Schwarzenegger')
)

o

SELECT *
FROM MOVIES m
WHERE m.MovieId IN 
(
    SELECT a.MovieId
    FROM ACTORS a
    WHERE a.ActorName IN ('Tom Hanks', 'Russell Crowe', 'Arnold Schwarzenegger')
)