Костя Немченко

<?php

$obj1 = new stdClass;
$obj1->list_id = 53;
$obj2 = new stdClass;
$obj2->list_id = 55;
$obj3 = new stdClass;
$obj3->list_id = 56;

$array1 = [$obj1, $obj2, $obj3];
$array2 = ['0' =>55];

$array = array_filter($array1, function($val) use($array2){   
    if (array_search($val->list_id, $array2) === false) {
        return true;
    } else {
        return false;
    }
});

var_dump($array);

array(2) {
[0] =>
class stdClass#1 (1) {
public $list_id =>
int(53)
}
[2] =>
class stdClass#3 (1) {
public $list_id =>
int(56)
}
}