I thought that it would be quite easy to find out a lot about the building, if only because it is such a massive presence, but it has taken a while to assemble any sort of coherent account of Globe Wharf.
Apart from its immense size (it is 20 bays wide and 13 deep), the most interesting features include the fine quality of the bricks, the four elevation housings with pyramid-shaped roofs, a jibbed crane and the interior wooden floors on iron columns. There's a full description of it on the British Listed Buildings website. It is Grade II listed.
Rotherhithe's shipbuilding yards had steadily been replaced by granaries and other warehouses as shipbuilders went out of business the requirement for Thames fronting warehouses spread steadily east from Bermondsey. It was probably the single largest Rotherhithe commercial building. According to research by Stephen Humphrey in 1887 it could hold 60,000 quarters of corn.
In 1924 Globe Wharf was converted for storing and milling rice by Thames Rice Milling, one of several rice mills in Rotherhithe. There's precious little information available about the establishment and operation of rice mills in London, so the following is the tip of a poorly recorded iceberg. Rice milling is the process of separating the white centre (the pieces of rice that we buy and eat) from the various layers of husk and bran that surround it. The milling machine (a rice huller or husker) was invented in the late 1700s and consisted of a feeding chute, rollers of wood or steel that broke up the outer layers and separated them from the edible interior. The mechanism spread rapidly throughout the United States throughout the 1800s and by the 1920s was employed all over the world. Rice, originally imported from Asia, was also grown successfully in Spain, South, Central and North America and elsewhere. Thames Rice Milling is now dissolved.
In the 1937 PLA photographs there was a rice chute on the front of the building, to the west of where the crane now hangs, leading from the roof down into the lower levels of the building.