Among the HC05's there are several processor families, each targeted to different embedded applications.
The 68HC05 family broke ground with the introduction of the EEPROM-based MC68HC805C4 and MC68HC805B6 variants in the late 1980s. Using a serial bootloader, they could be programmed in-circuit with simple software running on a PC and a low current 19 V supply (no programmer required).
The HC05 series is now considered legacy and is replaced by the HC(S)08 MCU series.
Nomenclature
MC6805xx
Motorola's first microcontroller family, implemented in HMOS