The way that I would approach it is using the tax_query to create a query that looks for both the correct genre and type. For example, to query all Movies that are Drama:
$myquery['tax_query'] = array(
array(
'taxonomy' => 'genre',
'terms' => array('drama'),
'field' => 'slug',
),
array(
'taxonomy' => 'type',
'terms' => array('movie'),
'field' => 'slug',
),
);
query_posts($myquery);
Hopefully that will get you started in the right direction.