PostgreSQL JOIN with array type with array elements order, how to implement?

Probably normalizing your table would be the best advice I can give you.

The int_array contrib module has an idx function that will give you the int's index position in the array. Also there is an idx function on the snippets wiki that works for array's of any data types.

SELECT i.*, idx(id_items, i.id) AS idx
FROM some_chosen_data_in_order s
JOIN items i ON i.id = ANY(s.id_items)
ORDER BY idx(id_items, i.id)

SELECT t.*
FROM unnest(ARRAY[1,2,3,2,3,5]) item_id
LEFT JOIN items t on t.id=item_id

The above query select items from items table with ids: 1,2,3,2,3,5 in that order.