I need a query to get the user databases not added or configured for Always On Availability Groups in SQL Server 2014.
You can use sys.databases which has a column called group_database_id. If this column is null then the database is not participating in an availability group. To only get user databases, restrict the query to database_id > 4.
SELECT name From sys.databases WHERE database_id > 4 AND group_database_id IS NULL