B767 Captain reported a hard power transfer caused the loss of multiple systems. The flight crew requested priority handling and made a precautionary landing at destination airport.

Narrative

On final approach to XXL in ZZZZ; out of 5;000 ft. and cleared for the approach; the first officer armed the approach mode. Once armed; we received multiple EICAS messages (3 pages) of system failures. I lost background lighting and multiple instruments. I looked up at the electrical panel and noted the STBY PWR OFF Light illuminated. After requesting priority handling; I handed the Paper QRH to the International Relief Officer and instructed her to read the Standby Power Off checklist. We complied with the checklist and continued the approach to an uneventful landing.On rollout; I took control of the aircraft; and through 100 kts.; felt the airplane being sluggish. I stated I thought we had blown tires; as our inboard tires had no anti-skid protection. We cleared the runway; and noted the break temp monitors were at 9 on my outboard brakes. I called Tower to ensure services were enroute; and wanted them to focus on our main landing gear in case of fire. Once ensured there was no fire; I contacted Ops; Dispatch; Maintenance Control to make everyone aware of our situation. After approximately 30 minutes I was informed that all 8 main tires were flat. Air stairs were brought to the aircraft; and all passengers and crew egressed with no injuries. We were taken by bus to the main terminal.Before leaving the aircraft; an ELB write up was accomplished. Upon further investigation of the logbook's history; I see there was a similar write up of a 'hard power transfer' when the approach mode was selected with multiple EICAS messages. In their case; they never lost STBY PWR; as in mine. Seems there was an electric anomaly with this jet that was never found by Maintenance. In my opinion; the paper QRH should not be removed from our aircraft; as it was the fastest means for us to accomplish a lengthy checklist before landing; as this problem presented itself at a very inopportune moment on approach.This is an addendum to a previous report. It was brought to my attention after landing that the speed brakes failed to deploy; and the crew missed that fact with all our attention focused on failed systems; checklists; and flying the airplane. Upon landing my focus was squarely on keeping the airplane tracking the runway center line. In the end; with the length of runway; I do not believe the speed brakes were a factor in the final outcome of the flight.