The cooktop lights broke off when I tried to replace them. How can I get the metal part out of the socket. The potato method did not work. Very frustrating.

* Call for service! High voltage(s) present!
*** The following is for information only. ***
* Remove oven and unplug. (Yes, you could trip out the breaker. But do you know enough to turn off the right one? Remember, you will be sticking something is a live socket.)
* Following is very dangerous! Use the back end of a rubber handled screw driver. Wear a glove and don't touch the metal parts of the oven with your other hand. Use dry towels if needed, to place around the oven door if you have to lean in. Remove all metal shelves. A small wooden handle (from a plumber's helper) can also substitute as well (if it's dry!)
* I'm guessing the bulb cracked or broke off the metal screw In base. With power OFF (you will be smashing the wires to the bulb that will probably short out.) Insert the blunt end (Handle side) into the light socket. Use a smaller handle if it does not fit. A broom handle should fit perfect. Press hard enough to get a grip and twist counter-clockwise to loosen the base. You may need to twist slowly back and forth to get the handle to 'bite' into the base. Be careful as the base comes out that you use a gloved hand to unscrew the base the rest of the way.
* This method works most of the time. Though it will not work on shorted/melted bulbs. This is caused by a bulb that was not seated properly and 'arced' welded the base to the contacts of the socket. This requires a complete replacement of socket and bulb.
* Final; Check your warranty as working on the oven may void it. Warranty periods may last years, so check first. Be safe and call your vendor for service.
Aloha, ukeboy57

PS; Though I don't think they use LEDs lamps INSIDE the oven as the heat will destroy them. But if it is an LED lamp then this method will not work. Call for service and replacement.

* Call for service! High voltage(s) present!
*** The following is for information only. ***
* Remove oven and unplug. (Yes, you could trip out the breaker. But do you know enough to turn off the right one? Remember, you will be sticking something is a live socket.)
* Following is very dangerous! Use the back end of a rubber handled screw driver. Wear a glove and don't touch the metal parts of the oven with your other hand. Use dry towels if needed, to place around the oven door if you have to lean in. Remove all metal shelves. A small wooden handle (from a plumber's helper) can also substitute as well (if it's dry!)
* I'm guessing the bulb cracked or broke off the metal screw In base. With power OFF (you will be smashing the wires to the bulb that will probably short out.) Insert the blunt end (Handle side) into the light socket. Use a smaller handle if it does not fit. A broom handle should fit perfect. Press hard enough to get a grip and twist counter-clockwise to loosen the base. You may need to twist slowly back and forth to get the handle to 'bite' into the base. Be careful as the base comes out that you use a gloved hand to unscrew the base the rest of the way.
* This method works most of the time. Though it will not work on shorted/melted bulbs. This is caused by a bulb that was not seated properly and 'arced' welded the base to the contacts of the socket. This requires a complete replacement of socket and bulb.
* Though I don't think they use LEDs lamps INSIDE the oven as the heat will destroy them. But if it is an LED lamp then this method will not work. Call for service and replacement.
* Final; Check your warranty as working on the oven may void it. Warranty periods may last years, so check first. Be safe and call your vendor for service.
Aloha, ukeboy57

Check the fuse. Should be near the bulb socket

The cooktop light bulb(s) is(are) located on the underside of the microwave oven, and is(are) replaceable. Remove bulb cover screw, and open the bulb cover. Replace bulb, close bulb cover, and secure with screw. Cavity light: The cavity light bulb is located behind the vent grille at the top front of the microwave oven, under the bulb cover, and is replaceable. Remove 2 screws on the vent grille, tilt the grille forward, and lift it out. Open bulb cover and replace bulb. Close bulb cover, replace vent grille, and secure with screws.
For more information, your owners manual can be viewed here (scroll to the bottom of page 4):
Maytag MMV1164WB Owners Manual Page 4

make sure the light is off, better yet turn off the breaker

take a potato a little larger than the socket, cut it to size, whatever.. jam it into the broken bulb (carefully), this will allow you to grip the broken bulb safely. turn counter clockwise and whats left of the bulb should unscrew out.. works VERY well

You could try the potato trick. Take a small to medium potato. Cut off an end of the potato. Press the cut end into the broken lightbulb and unscrew the rest of the bulb out.

try using a small potato,push it into the base while turning the potato.it may lock onto the base and unscrew it....UNPLUG IT FIRST...

From what others have said, it will come out, but you have to use some strong good needle nose pliers to turn the base in the socket.

Remove the screws on the bottom of the unit and the panel drops. You can then remove one screw on the actual bulb holder and use plyers to spin it out. Make sure you disconnect the power.

I also have had a problem with the glass part of the surface light bulb separating from the metal base when trying to change the bulbs under my G.E. Spacemaker Microwave.. I see someone used a carrot or potato but I had not seen this suggestion before I whittled one end of a wine cork small enough to insert into the metal part of the old bulb stuck in the socket. It also worked great and in no time I was able to get the old base out and replace the bulb. I'll save the cork for next time because it seems to happen to at least one of the bulbs everytime they need to be changed. DON'T FORGET TO UNPLUG THE MICROWAVE FIRST!