[sql-server] How do I list all tables in all databases in SQL Server in a single result set?

This is really handy, but I wanted a way to show all user objects, not just tables, so I adapted it to use sys.objects instead of sys.tables

SET NOCOUNT ON
DECLARE @AllTables table (DbName sysname,SchemaName sysname, ObjectType char(2), ObjectName sysname)
DECLARE
     @SearchDb nvarchar(200)
    ,@SearchSchema nvarchar(200)
    ,@SearchObject nvarchar(200)
    ,@SQL nvarchar(4000)
SET @SearchDb='%'
SET @SearchSchema='%'
SET @SearchObject='%Something%'
SET @SQL='select ''?'' as DbName, s.name as SchemaName, t.type as ObjectType, t.name as ObjectName 
from [?].sys.objects t inner join sys.schemas s on t.schema_id=s.schema_id 
WHERE t.type in (''FN'',''IF'',''U'',''V'',''P'',''TF'') 
AND ''?'' LIKE '''+@SearchDb+''' 
AND s.name LIKE '''+@SearchSchema+''' 
AND t.name LIKE '''+@SearchObject+''''

INSERT INTO @AllTables (DbName, SchemaName, ObjectType, ObjectName)
    EXEC sp_msforeachdb @SQL
SET NOCOUNT OFF
SELECT * FROM @AllTables ORDER BY DbName, SchemaName, ObjectType, ObjectName