The dashboard lights don't work on our daughters 1995 Mazda MX-3.How do we get into the dash to check the light bulbs? Also, when at the local car parts shop, they have no specs on what size bulbs we would need, does anyone know?

You need to check the glass heater grid or continuity, turn it on and check across the grid with a 12 volts test light

check if power getting to bulbs, if is then the bulb holders may well be distorted due to heat and are not allowing bulbs to seat properly so renew the bulb holders , if no power to the bulb holders and the fuse is ok then its either a wiring fault , check the earth wire from the light cluster if ok them must be the switch

bulb is busted sometimes they place bulbs which are rubber coated so in time they tend to dim the best way is remove all the bulbs and replace with led you will see the difference

Check your park light fuse. You may have blown the fuse for the dashlights/park lights by accidentally grounding the night illumination wire, located in the radio wiring. That wire runs from the dash lights to the radio, to illuminate the radio at night. Alternately, if the park light fuse keeps blowing when you replace it, you might've hooked that night light wire up to the wrong wire on your radio.

Check fuse f3 located in fascia fuse box,below steering wheel just above data link connection 15AMP
Fuse under bonnet f7 also connected to dash/rear lights,but if this blows you would have no indicators as well
good luck barry

What rear brake light is it? The high mount or the standard brake lights?

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Check Fuse #6 15 amp under dash in fuse box also check fuse #4 10 amp both run dash and tail lights

I'm assuming globe means bulb. I have replaced many bulbs that look fine, and that turns out to be the problem. But to stop you from chasing down a problem that isn't there, test the connector that attaches to the bulb. Should be power there with the head lights on. There should be a fuse, and a relay. The fuse is under the dash or on the side of the dash near the door hinges, I'm just not sure if this car would have seperate fuses for L headlight and R headlight. But you should check power first at the connector.

If you visually inspect the wires on the rear window do you see any breaks in the grid?

If so, read the following link:

http://www.popularmechanics.com/automotive/how_to/1272291.html

DId you check all the fuses as the Dimmer to the dash lights and the park lights get power from the same curcuit .... also you can not always tell if a blade fuse in blown so check the fuses with a known good if you don't have a meter. remeber there is a fuse box under the hood too