"盒式数据存储器" can be translated as "cartridge data storage device" or "cartridge-type data storage" in English.
"Cartridge" refers to a small, removable container or module, often used in the context of data storage or computing to describe a portable storage medium.
"Data storage device" or "data storage" clearly indicates the function of storing data.
Therefore, depending on the context and the level of specificity required, either "cartridge data storage device" or "cartridge-type data storage" would be appropriate translations for "盒式数据存储器".