My dash lights are out in my 1993 Infinity J30?

It does sound like you have some kind of technical short. If you go to Barns and Noble, you will be able to find the Chiltons manual on this vehicle. You don't really need to buy it, but look through and see if you can find the cause of this issue. At first, I had thought that the vehicle was older vehicle and that the bulbs had burned out... I was wrong. Sorry!

Ok several things that it can be.
1) short, but if it were that big of a short, i would think a fuse would
have blown by now.
2) Missing wire or power on headlite side of relay or output. Heres the
thing, some cars, when the headlite is turned on, will dim the interior
lites since its dark out, they stand out more. They can do this
several ways, normally be re-routing through a resistor like the one
on the dash where you turn it left, lites dim turn it right and they
brighten up. And when you turn on headlites this circut is active.
3) You have dash control/dimmer turned all the way down.

In item 1 a fuse would blow, In item 2 you need wiring ciurcut to follow but if you have it or get it online, finding would be fairly easy.
in item 3 just check the dimmer switch.

It does sound like you have some kind of technical short. If you go to Barns and Noble, you will be able to find the Chiltons manual on this vehicle. You don't really need to buy it, but look through and see if you can find the cause of this issue. At first, I had thought that the vehicle was older vehicle and that the bulbs had burned out... I was wrong. Sorry!