You can create a trigger in Oracle that will log all errors (or pretty much all - NO_DATA_FOUND is not considered an error). In the example below, any error in the schema is recorded in the TRACK_DETAIL table (error in one row, failed SQL in the next). You can make it more sophisticated with a sequence number, date/time etc.
create table track_detail (val varchar2(4000));
create or replace procedure track (p_text IN VARCHAR2) IS
PRAGMA AUTONOMOUS_TRANSACTION;
begin
insert into track_detail(val)
values (p_text);
commit;
end;
.
/
create or replace TRIGGER log_err after servererror on schema
DECLARE
v_temp VARCHAR2(2000) := substr(dbms_utility.format_error_stack,1,2000);
v_num NUMBER;
v_sql_text ora_name_list_t;
begin
v_temp := translate(v_temp,'''','"');
track(v_temp);
v_num := ora_sql_txt(v_sql_text);
v_temp := null;
BEGIN
FOR i IN 1..v_num LOOP
v_temp := v_temp || v_sql_text(i);
END LOOP;
EXCEPTION
WHEN VALUE_ERROR THEN NULL;
END;
v_temp := translate(v_temp,''''||chr(0)||chr(10),'"');
track(v_temp);
end;
/
Remember to drop (or disable) the trigger when you have finished with it.