How to select column names by data type

Query sys.columns and sys.types like this:

select object_name(c.object_id) TableName, * 
FROM sys.columns c
join sys.types t ON c.system_type_id = t.system_type_id
where t.name = 'datetime'

How would I get the names of all the columns in a table that are of a specific type such as datetime?

(output as schema_name | table_name | column_name | data_type):

SELECT Object_Schema_name(c.object_id) as [SCHEMA_NAME]
    ,object_NAME(c.object_id) AS TABLE_NAME
    ,c.NAME AS COLUMN_NAME
    ,t.NAME AS DATA_TYPE
    -- add / remove columns as per need
    --,c.max_length AS MAX_LENGTH
FROM sys.all_columns c
INNER JOIN sys.types t ON t.system_type_id = c.system_type_id
where Object_Schema_name(c.object_id) <> 'sys' -- not sys schema
    -- filters 
        and t.name = 'Datetime'
    --  and object_NAME(c.object_id) = 'someTableName'

You could use INFORMATION_SCHEMA.COLUMNS. The documentation says that TABLE_SCHEMA is not reliable for objects, but I assume it works for tables and columns:

SELECT TABLE_SCHEMA, TABLE_NAME, COLUMN_NAME
FROM INFORMATION_SCHEMA.COLUMNS
WHERE DATA_TYPE = ?

Reference: https://msdn.microsoft.com/en-us/library/ms188348.aspx