In the Applications menu, I have some programs that are showing up under the "Other" category, that I'd like moved to other categories.
I tried dragging and dropping, and the only context menu action is Add to Dock. How do I change the category?
You can acheive this by changing the content of the *.dektop file for the respective application.
You can usually find these here:
Just open the respective file and in the
[Desktop Entry] section of the file for example add the the following in order put the entry in the "Office" section:
Network for the Internet section, etc. Just look at entries for apps in the respective sections in order to find out the correct string for the section you want.
You can also install alacarte, this offers you a gui enabling you to edit menu entries. This does not work 100% reliably on elementary in my experience, though. Here is a short explanation.
sudo apt-get install alacarte
Hope this helps.