SMF http://www.simplemachines.org/ is a good forum script. You can see list features of it: http://www.simplemachines.org/about/features.php . Hope you will find your favorite one.

Cpanel has utility to help you transfer your file to new server . I dont understand clearly "Offline browser software".

Try this keyword "NBSdesignz Multi-Forums phpBB" on google. You will see the site provides that script .
Have fun