One of the most popular HD FPV systems out as of writing is from DJI. The DJI Air unit, which serves as the VTX on the multirotor, has integration with Betaflight over a UART port on the flight controller which it uses to implement the Betaflight OSD.
I don't have one, so I can't confirm, but I believe most of the OSD elements available for the analog OSD are also available in the DJI system. (cit. UAVFutures) Joshua Bardwell on YouTube has a video listing out which OSD elements the DJI OSD supports.
- Angle: Pitch/Roll
- Battery average cell voltage
- Battery current draw
- Battery current mAh drawn
- Battery voltage
- Disarmed
- ESC temperature
- Fly mode
- GPS latitude/longitude
- GPS stats
- PID pitch/roll/yaw
- Power
- Profile: PID and rate
- RSSI value
- RTC date and time
More element support may have been added since Bardwell's video was released in December 2019. Configuration of the layout of elements on the screen is supported through the OSD tab in the Betaflight configurator.