using System.Data;
using System.Data.SqlClient;
...
// Substitute your connection string below in conxString 
String conxString = 
   "Data Source=MYSERVER; Integrated Security=True;";
 
using (SqlConnection sqlConx = new SqlConnection (conxString))
   {
   sqlConx.Open();
   DataTable tblDatabases = sqlConx.GetSchema ("Databases");
   sqlConx.Close();
 
   foreach (DataRow row in tblDatabases.Rows)
   {
      Console.WriteLine ("Database: " + row["database_name"]);
   }
}
//csharp/4216