Fpmurphy has created a Gnome Shell extension that adds an applications menu to the Gnome Shell panel.
Download the extension here.
Extract the file and place the extracted folder in the ~/.local/share/gnome-shell/extensions/ folder of your home folder.
Restart Gnome Shell by Pressing Alt + F2 and running r.
The extension defaults to show a Fedora icon. To change it to an Ubuntu icon, open the extension.js file and change “fedora-logo-icon” to “distributor-logo”.
Save the file and restart Gnome Shell.