SELECT C.id, C.name, json_agg(E) AS emails FROM contacts C
LEFT JOIN emails E ON C.id = E.user_id
GROUP BY C.id;

id  |  name  |  emails
-----------------------------------------------------------
   1  |  Ryan  |  [{"id":3,"user_id":1,"email":"hello@world.com"},{"id":4,"user_id":1,"email":"again@awesome.com"}]
   2  |  Nick  |  [null]

SELECT C.id, C.name,
  COALESCE(json_agg(E) FILTER (WHERE E.user_id IS NOT NULL), '[]') AS emails
FROM contacts C
LEFT JOIN emails E ON C.id = E.user_id
GROUP BY C.id, C.name
ORDER BY C.id;

select
    c.id, c.name,
    case when count(e) = 0 then '[]' else json_agg(e) end as emails
from contacts as c
    left outer join emails as e on c.id = e.user_id
group by c.id

select
    c.id, c.name,
    coalesce(e.emails, '[]') as emails
from contacts as c
    left outer join (
        select e.user_id, json_agg(e) as emails from emails as e group by e.user_id
    ) as e on e.user_id = c.id

SELECT C.id, C.name,
  COALESCE(NULLIF(json_agg(E)::TEXT, '[null]'), '[]')::JSON AS emails
FROM contacts C
LEFT JOIN emails E ON C.id = E.user_id
GROUP BY C.id;

CREATE OR REPLACE FUNCTION public.json_clean_array(p_data JSON)
  RETURNS JSON
LANGUAGE SQL IMMUTABLE
AS $$
-- removes elements that are json null (not sql-null) or empty
SELECT json_agg(value)
  FROM json_array_elements(p_data)
 WHERE value::text <> 'null' AND value::text <> '""';
$$;

CREATE OR REPLACE FUNCTION public.json_clean(p_data JSON)
  RETURNS JSON
  LANGUAGE SQL IMMUTABLE
AS $$
-- removes elements that are json null (not sql-null) or empty
  SELECT ('{' || string_agg(to_json(key) || ':' || value, ',') || '}') :: JSON
    FROM json_each(p_data)
   WHERE value::TEXT <> 'null' AND value::TEXT <> '""';
$$;

CREATE OR REPLACE FUNCTION public.json_clean(p_data JSON)
  RETURNS JSON
  LANGUAGE SQL IMMUTABLE
AS $$
-- removes elements that are json null (not sql-null) or empty
  SELECT json_object_agg(key, value)
    FROM json_each(p_data)
   WHERE value::TEXT <> 'null' AND value::TEXT <> '""';
$$;

select
c.id, c.name,
array_to_json(array(select email from emails e where e.user_id=c.id))
from contacts c

CREATE OR REPLACE FUNCTION public.json_clean_array(data JSON)
  RETURNS JSON
LANGUAGE SQL
AS $$
SELECT
  array_to_json(array_agg(value)) :: JSON
FROM (
       SELECT
         value
       FROM json_array_elements(data)
       WHERE cast(value AS TEXT) != 'null' AND cast(value AS TEXT) != ''
     ) t;
$$;

select
    friend_id as friend,
    json_clean_array(array_to_json(array_agg(comment))) as comments
from some_entity_that_might_have_comments
group by friend_id;

CREATE OR REPLACE FUNCTION public.json_clean(data JSON)
  RETURNS JSON
LANGUAGE SQL
AS $$
SELECT
  ('{' || string_agg(to_json(key) || ':' || value, ',') || '}') :: JSON
FROM (
       WITH to_clean AS (
           SELECT
             *
           FROM json_each(data)
       )
       SELECT
         *
       FROM json_each(data)
       WHERE cast(value AS TEXT) != 'null' AND cast(value AS TEXT) != ''
     ) t;
$$;

SELECT C.id, C.name,
  case when exists (select true from emails where user_id=C.id) then json_agg(E) else '[]' end
FROM contacts C
LEFT JOIN emails E ON C.id = E.user_id
GROUP BY C.id, C.name;

...
array_remove(array_agg(
      jsonb_build_object('att1', column1, 'att2', column2)
    ), to_jsonb('{"att1":null, "att2":null}'::json))
...