When the text fields are written with a non-Latin alphabet it is not possible to use the dbf-file because that file format does not support UTF-16. The work-around is to copy from ArcMap to Excel.
In the dbf-file the non-Latin characters are not readable
- Open the Attribute table in ArcMap
In the Attribute table in ArcMap 10.1 the non-Latin characters looks OK
- Click on the Table icon and choose Select All in the menu
- Hold down Shift, right-click on the first row's grab handle and choose Copy Selected in the menu
- Paste into an Excel file
How the final result looks like