AUTOMATIC TRANSMISSION , REVERSE GEAR WORKS , DRIVE DOES NOT

welcome to usa forum, we dont have Jimny here.
but car is kind simular to a vitara.
no year stated, so that makes real accurate answers impossible.
no transmission stated. or engine size

is it a stick or auto trans?
is car 2wd or 4wd?

is the lever stuck in nutural.?
or is the lever working right but the transmission fails in all gears and reverse.
mine has stick and 5 speeds, and reverse so has 6 gears to try.
If an automatic? trans. check the levels. per the operators guide do not guess.
and change its filter, if never done.
if automatic, make sure the lever moves its cable and the other end of cable is still attached to the trans lever. on the box.
they both move same amount, (cable drive does that)
if not the cable is bad, or bits there.

If the ABS has a problem , the transmission will not work properly

Make sure the shift cable hasn't come loose from the mechanism on the transmission and that it's moving as it should when the shift lever is being moved.

Sounds like the transmission is gone .Check the fluid level ,and sometimes the filters inside the transmission gets clogged up.have it checked by a qualified transmission mechanic.

The linkage may be out of adjustment preventing the shifter from moving into reverse or park.
One way to test this is to disconnect the linkage and manually move the lever on the transmision making sure that it can be set into park. Also try moving the lever counting each click from park to low gear to make sure it is clicking into each gear. If this works then the linkage is probably out of adjustment.
On the link cable there is typically a bolt in an oval shaped metal near the transmission shift lever.
1)Detach the shift cable from the transmission shift lever
2)Put the transmision shift lever in the park position, and also the shifter in the cab
3)Loosen the adjustment bolt
4)Reattach the cable to the lever
5)Tighten the adjustment bolt in place
6)Confirm that you can shift through all of the gears
Hope this helps

make sure you tested the level correctly. Sounds strange to be high, unless it got flooded.

Hi Don, have you checked the gear box oil level? Regards John

The weld on the manual lever is known to break loose. First, with the wheels off the ground, with the lever in the park position, does the drive shaft lock in park? If yes or no sometimes, drop the trans pan. I bet the nut on the lever camd loose.

If I understand you correctly, you have ALL forward gears working, but reverse doesn't?... then the problem is in the transmission itself or the linkage on the trans linkage into reverse.

internal transmission problem. Unless you know how to rebuild a transmission it is best to take the dealr or a transission repair shop like AAMCO.