Pictures of the chime box would help. Could be a few things. It's not a fuse that's almost certain.

Chimes typically have a Jones plug on the end that plugs into the bottom board. If it's plugged in, sometimes if the game hasn't been played in a while, the plungers get stuck to the rubber foam at the bottom of the chime unit. Just some things to check.

Sounds like the wire came off one of the chime unit solenoids. The rest are usually daisy chained together. As the prior poster said, post a picture and it will make it much easier to diagnose.

The black wire connects to one of the lugs with a blue wire on it. Someone pulled that off to turn the chimes off.

It doesn't matter which one you pick because they're all tied together. I suppose whichever one the wire reaches easily would be the best one to use.

That's the coin lock-out coil. They do buzz on most games. I disconnect them as well. Just cut the single black wire. Then wrap the end of the wire with a little electrical tape because there will be voltage present on the metal wire at the end. You may want to zip tie it to the white wires otherwise it wants to flop all over when you open the coin door.

That device is the coin-door lockout coil. It was designed so that in the event that someone deposited a coin when the game was powered off, the coin would be routed to the coin return slot instead of to the operators coin box inside the cabinet. That coil is on as long as the machine is powered on. When the coil is on, it pulls in and moves the thin rod which changes the coin path over to the coin box, instead of to the return slot.

One can usually alleviate the buzz by fiddling with the coil armature or the thin rod.

However, some owners will disable this device if they are not planning to use the game in a coin-op mode. The white wire is probably the power wire while the black is the ground. If you remove either one, try to detach it right at the coil terminal so that some subsequent owner could easily restore function if the desired.

Congrats on your first repair.

Study-up for the next one! Do you get pinballninja's videos? Well worth the donation and plenty of good EM repair videos. By the same guy that hosts/wrote the EM repair guide (http://www.pinrepair.com/begin/index.htm, http://www.pinrepair.com/em/index.htm).

http://www.pinrepair.com/top/
Try that link

If it's sounding too "clunky" you could take the box out and take apart to replace the foam strip...those disintegrate after a few decades and then you get metal on metal sound. It's an easy repair as well.