I think the photo shows the Pioneer Centre (2nd generation) in the 1980s. As I do not know its start date, nor the demolition date, so I am unable to create a "place" for that building (which includes a shopping plaza). Suggestions are welcome.
Empress Theatre was facing Nullah Road. Royal Theatre was at j/o Nathan Road and Bute Street (ie it was on the northern side of Bute Street). It had two entrances; one at Nathan Road and the other at Bute Street. Perhaps someone will like to show them in an old map of Mongkok.