USE dbName;
SELECT TABLE_NAME
FROM INFORMATION_SCHEMA.TABLES
WHERE (TABLE_SCHEMA = 'dbName' OR TABLE_SCHEMA = 'schemaName')
ORDER BY TABLE_NAME
If you are working with multiple schemata on an MS SQL server, then SELECT-ing TABLE_NAME without also simultaneously selecting TABLE_SCHEMA might be of limited benefit, so I have assumed we are interested in the tables belonging to a known schema when using MS SQL Server.
I have tested the query above with SQL Server Management Studio using an SQL Server database of mine and with MySQL Workbench using a MySQL database, and in both cases it gives the table names.
The query bodges Michael Baylon's two different queries into one that can then run on either database type. The first part of the WHERE clause works on MySQL databases and the second part (after the OR) works on MS SQL Server databases. It is ugly and logically a little incorrect as it supposes that there is no undesired schema with the same name as the database. This might help someone who is looking for one single query that can run on either database server.