Is Fusion crashing, or is the Lubuntu OS crashing?
Are the operations you describe (moving a window, choosing a menu) being performed in the VM (manipulating the menus within the VM, for example)?
Have you examined any logging provided in the VM for a clue to what is happening from its point of view?
What tools implementation are you running in the VM? Open-vm-tools or VMware Tools installed via Fusion’s menus? (You should be using former, not the latter)