$arr = [
    [  8336, 'name' => "dec_video" ],
    [  8360, 'name' => "nico_test" ],
    [  8360, 'name' => "test_nico" ],
    [  8366, 'name' => "dec_video" ],
    [  8366, 'name' => "nico_test" ],
    [  8366, 'name' => "test_nico" ],
    [  8366, 'name' => "test_ssp" ]
];

$arr1 = [ "nico_test", "test_ssp"];
$res = [];

for ( $k = 0; $k < count($arr1) ; $k++ ) {
  for ( $i = 0; $i < count($arr) ; $i++ ) {
     if ( $arr1[$k] === $arr[$i]['name'] ) {
         unset($arr[$i]);
     }
  }
}
var_dump($arr);