The plastic that certain flavors can crack or melt is a specific type of plastic called
polycarbonate. It was and has been up until recently pretty common to be used in clearomizers and tanks because it was easy to mold in the appropriate size and shape of juice delivery devices, is relatively durable, and clear in appearance.
As more vapors began using certain e-liquid flavors such as some of the cinnamon and citrus flavors, they discovered those flavors would destroy their tanks. They began to demand manufacturers to find safe alternatives, which are polypropylene plastic (safe for those flavors, but frosted in appearance), pyrex glass, and metal tanks.
The process is not an eroding away from exposure to acidic juices, but specific flavors can make a chemical bond with certain molecules in the polycarbonate. When enough molecules form this new bond, the plastic weakens and either cracks or melts.
Despite these effects on polycarbonate, there is no evidence to show that vaping these flavors causes any harm to our body. However, vaping the contaminated e-liquid that has been chemically changed likely is NOT a good idea.
I have a list of known flavors known to be reactive with polycarbonate, and suggestions of appropriate juice attachments available to those people who enjoy these volatile flavors in this blog article that I wrote:
http://www.e-cigarette-forum.com/forum/blogs/baditude/3733-6-something-safe-cinnamon-citrus-flavors.html
EDIT TO ADD: I forgot to answer the original question.

The plastic bottles that our e-liquid is shipped in is a different plastic than polycarbonate; therefore the responsible flavors that can crack polycarb are safe to store all flavors.