You can do something similar on an ATMega2560 (or the smaller versions) e.g. on Arduino Mega. 16 GPIOs are used for address and data (with the high 8 bits of the address multiplexed with the 8 data bits) to allow addressing 64 KB of total RAM. Not as quickly, obviously, due to the lower clock rate, but I think it might manage 8 MB/s.