A multi-mode hybrid memory drive comprises a bulk memory device and a removable cache memory device. A controller of the bulk memory device may be configured to operate the bulk memory device in either a stand-alone mode or a hybrid mode responsive to detecting the removable cache memory device being coupled with a cache port of the bulk memory device. A method of operating a multi-mode hybrid drive may also comprise monitoring a cache port of a bulk memory device to determine a presence of a removable cache memory device, operating the bulk memory device as a stand-alone drive responsive to determining the removable cache memory device is not present, and operating the bulk memory device as a hybrid drive using the removable cache memory device as a data cache responsive to determining the removable cache memory device is present. Additional hybrid memory drives and computer systems are also described.