Thank you for your question.
Store Manager allows to export products same as you can see them at Main Grid if you click to export to Excel File:
http://screencast.com/t/EFrWnKwCc2
but in this case, there is noway to include Categories Path
In order to be able to export products with Categories Path, please use Import/Export Wizard:
http://screencast.com/t/TQzJHNbdBLi
Please note, that in this case, headers would be named at your file depending on names of the Attributes at your database.
Let us know if you have any other questions