B787 First Officer reported various malfunctions including loss of the right VHF radio after takeoff. The flight crew coordinated with ATC and returned to the departure airport.

Narrative

We encountered several system malfunctions while climbing from ZZZZ airport at 10;000 ft. These included the loss of the Captain's Primary Flight Display (PFD); a failure in the Flight Management Computer (FMC); the right VHF radio; and the First Officer's Nav Display and center console displays. Alongside these malfunctions; we detected a smell of fumes in the flight deck; which we believed to be caused by electrical equipment burning.We coordinated with ZZZZ to assess the situation; follow appropriate checklists; and level off at 14;000 ft. Meanwhile; the Captain informed our Dispatcher that we were returning to ZZZZ and requested landing data for an overweight landing. The Captain also notified the Purser and passengers about our decision to return to ZZZZ. Before landing; we jettisoned fuel to reduce the aircraft's weight as close to the Maximum Landing Weight as possible.Reviewing our synoptic system pages; we discovered that the left hydraulic system indicated zero fluid quantity and no pressure. The left hydraulic system readout led us to suspect that specific flight controls and the engine reverser might not function properly. Considering the potential loss of the left hydraulic system; the Captain decided to halt the fuel jettisoning; requested priority handling; and immediately return to the airport for an overweight landing. The Captain communicated this request to ZZZZ Approach Control; asking for Airport Rescue and Firefighting (ARFF) equipment to be on standby upon our arrival; as we were unsure if we would have nose-wheel steering and sufficient braking to stop the aircraft on the runway.We conducted a briefing for an ILS approach and completed the appropriate descent and landing checklists. As an extra safety precaution; the Captain opted to configure the aircraft for landing early to assess the functionality of the flight control and landing systems. We would abort the approach and develop an alternate plan if any issues arose.We executed the approach; landing; and landing rollout without incident. We could maintain control of the aircraft's direction and bring it to a stop on the runway. The Captain cleared the runway and taxied to the terminal; where Company ground crew; airport fire and rescue personnel; gate agents; and maintenance staff were waiting to meet the aircraft.The crew members worked well together during the non-normal event. All crew members conducted themselves professionally and per Company Standard Operating Procedures. Captain; First Officers utilized Crew Resource Management (CRM) and Threat and Error Management (TEM) tools well.