SQL: select rows where some id in array

CREATE TABLE "public"."items" (
    "id" int4 NOT NULL DEFAULT nextval('item_id_seq'::regclass),
    "name" text,
    "has_access" _int4 NOT NULL DEFAULT '{}'::integer[],
    PRIMARY KEY ("id")
);

id	name	has_access
1	dogs	{1,2,3}
2	cats	{1,2}
3	food	{1,2}
4	cars	{1,2,3}
5	movies	{1}
6	books	{1}
7	papper	{1}

Select rows where some id in array

SELECT * FROM items
WHERE (2 = ANY (has_access))
ORDER BY id;

id	name	has_access
1	dogs	{1,2,3}
2	cats	{1,2}
3	food	{1,2}
4	cars	{1,2,3}

Select rows where some id in array and some id not in array

SELECT * FROM items
WHERE (2 = ANY (has_access))
AND NOT (3 = ANY (has_access))
ORDER BY id;

id	name	has_access
2	cats	{1,2}
3	food	{1,2}