[ms-access] How can I get table names from an MS Access Database?

To build on Ilya's answer try the following query:

SELECT MSysObjects.Name AS table_name
FROM MSysObjects
WHERE (((Left([Name],1))<>"~") 
        AND ((Left([Name],4))<>"MSys") 
        AND ((MSysObjects.Type) In (1,4,6)))
order by MSysObjects.Name 

(this one works without modification with an MDB)

ACCDB users may need to do something like this

SELECT MSysObjects.Name AS table_name
FROM MSysObjects
WHERE (((Left([Name],1))<>"~") 
        AND ((Left([Name],4))<>"MSys") 
        AND ((MSysObjects.Type) In (1,4,6))
        AND ((MSysObjects.Flags)=0))
order by MSysObjects.Name 

As there is an extra table is included that appears to be a system table of some sort.