I came across a site selling 60 Zinc–carbon batteries for around $10 including shipping. They expire in 2014.
As I go through quite a few batteries in my gaming, I researched Zinc–carbon batteries and their use in wireless controllers. On their site Nintendo warns not to use them with the Wii and inside of the XBOX 360 controller's battery chamber it reads that only Alkaline batteries should be used.
I've read user reports of Zinc-carbon batteries being safe for use with a few drawbacks. Reduced battery life compared to Alkaline batteries and the 360 being unable to warn when the life of the battery is low.
Some say that the warnings are there to prevent liability if the batteries leak and damage the hardware. Others say the warnings are there to enhance user experience as alkaline batteries last over four times longer.

Are Zinc–carbon batteries safe to use in my controllers? What are the differences between them and other battery types?