SELECT
dbs.[name] AS DatabaseName
FROM master.sys.databases dbs
where dbs.database_id <> 2
AND dbs.[name] NOT IN
( SELECT
bus.database_name as 'name'
FROM msdb.dbo.backupset bus
INNER JOIN msdb.dbo.backupmediafamily bume ON bus.media_set_id = bume.media_set_id
WHERE
dbs.database_id <> 2
AND dbs.is_in_standby = 0
AND dbs.source_database_id IS NULL
AND dbs.[state] <> 1
AND bus.backup_finish_date >= DATEADD(d, -7, GETDATE())
)