No dash lights or parking lights but the head lights come on.

The dash lights are on the same circuit as the tail lights/park lights. If the front park lights are not on as well, look for a blown fuse . If fuse is ok. possible headlight switch/relay/wiring problem

seems to me (id use my meter to find truth) a short in the HL.
head lights. and possible wrong size fuse in that circuit too.

find a good ASE shop. they will make short (no pun) work of this.
or buy a DMM and ask how to do this.
or inspect all HL wires for shorts.
it also seems to me the park lamps side is shorted.
but i cant see dash and the effect.
are you saying the warning lights in cluster or blinking
or the cluster back lights flash.
if back lights , that is PARK (via dimmer) in the dash.
so if the backlights dim that means the park feed is shorted.
but, like I said, I never guess. I use a meter.

no other failure> car runs perfect all other electrics perfect.
head lights, parking lights??????

the dash lamps are usually on the park light circuit.
check parking lamps.
check fuses first.

next time say what dash lamps means.
there are a huge number of lamps on the dash
warning lights.
displays
dash parking lamps (back ground glowing for night usage)
called dial lights.
say exactly the lamp that is dead and what it does.

the dash dial lights on all cars have a dimmer control
turn it up,. and bingo the dials glow.

Head lights? Parking lights? Dash board lights? Head lights or parking lights I would go to the alarm system. If it's the dash board lights in the climate control panel, you have a major engine fault going on. Get your computer scanned.
Good luck. Jeff M.

Did you replace the relay?check for a broken ground wire.

i have 2001 Audi is a liking gas problem

check the fuse that is for parking lamps

A good indication of a blown fuse,

Had the same problem and it was a short in the trailer light hook-up.

You must check all of your fuses. It's most likely one of those. Dash lights are also controlled by the intensity knob on either your headlight switch or possible near it. It will dim/brighten your radio lights and interior lights too.