Which of the following is a common use for removable storage media?

Removable storage media, such as USB drives, external hard disks, CDs, and DVDs, serve the primary purpose of transferring and storing data. These devices allow users to easily move files from one computer or device to another without needing a network connection. They are also commonly used for backups, providing a convenient way to keep important files safe and accessible.

The other activities listed, while they may involve technology, do not align with the primary function of removable storage media. For instance, playing video games typically requires installed software on a device rather than relying purely on removable media. Displaying presentations usually involves connections with projectors or screens rather than direct storage solutions, and hardwiring devices refers to physically connecting them through cables, which does not involve storing or transferring data in a removable manner. Thus, "transferring and storing data" is indeed the correct and most relevant answer.