Check VSC System message and Check Hybrid System message came up after the wheels spun slightly on gravel. Now the 2006 Highlander Hybrid won't move forward or reverse. Engine runs and revs but is in neutral even when selector is in drive or reverse. Is there a remedy? Ran great until the very slight loss of traction.

There are a few possible reasons why your 2008 Toyota Highlander won't start and has the "Check VSC System" and "Check Hybrid System" warnings:
Battery problem: The battery may not have enough strength or power to start the car. A qualified technician should test the battery to ensure it supplies the correct voltage and amperage.
Problem with the hybrid system: The hybrid system could be experiencing issues, such as a broken inverter or a weak battery.
Vehicle stability control (VSC) system issue: The VSC system could be experiencing problems, such as faulty sensors or brake system issues.
Fuel system issue: A vacuum could be created by the gas cap's improper seal.

Other issues: The vehicle may have issues such as a problem with the starter, the alternator, or the ignition switch.

It's best to have a professional technician diagnose the issue, and they will be able to identify the specific cause of the problem and make the necessary repairs.
If the vehicle has been sitting for several months, there might be other issues that could have arisen due to the lack of use. It's best to have a complete checkup and service before driving the vehicle again.

I have the same problem did you find any way to fix it?

Disabling the light doesn't fix the problem, you should have this diagnosed by connecting a diagnostic code reader that can communicate with the traction control system, then go from there.

Many possibles, but first check gas cap for torn gasket or just being loose. The VSC light is related to emissions issue and can be leaking vac hose, bad purge valve and other such.

veh, stable sustem
is the warning on all the time.
yes, get it serviced,
a shop will scan it and see the real errors not customer display weak messages.
they see, DTC errors, for brakes, ABS and other errors that cause VSC to fail, (vsc is last in the loop) so..
even basic brakes can be bad. bad pads, and other very simple things. get it scanned, or serviced.

I googles the vsc system problem and it led me to a answer for both of them for the vsc and the shift to park it could be caused by the torque inverter/converter if you google "vsc problem?" You will find the Toyota nation website and they are talking about this exact problem in that forum that will come up.

Check operation and condition of ABS sensors . Also check suspension and steering components and wheel alignment then retry and report back if necessary.

It stands for Vehicle Stability Control When the VSC system takes control it activiates stability correction. The slip indication light flashes while the buzzer activates. The VSC is able to operate at all times except when the centre differential is locked. When the centre differential locks, the VSC-OFF light in the combination meter illuminates to inform the driver that the VSC function has been turned OFF. The centre differential lock is designed for freeing the vehicle if it is stuck in mud for example, however it would be difficult for the vehicle to free itself if the engine output were reduced due to the operation of VSC. Therefore when the centre differential is locked, the VSC function is turned OFF.If a malfunction occurs in the VSC system, the VSC warning light illuminates to alert the driver. If the vehicle with VSC begins to oversteer or understeer because of an emergency avoidance measure, or by excessive speed in a corner, VSC will automatically activate. By adjusting the engine’s power output and braking each wheel independently, VSC helps to return the vehicle to a ‘zone of stable operation’..

Try estima hybrid repair manual http://en.estima.su/estima_hybrid_service_and_repair_manual.htm