What does that "CE" logo on many products' packaging signify?

CE is an electrical standard for Europe. In the USA, products are marked with UL

Consumer Electronics. This means that certain safety precautions have been taken to make sure that the device is [most likely] not going to kill the consumer during normal use.

Consumer Electronics??? No. It stands for “Conformité Européene” usually translated in Britain to “Certified European.” It simply means that the product has been successfully tested to conform with standardised European safety laws. And it is not just for electrical products: the glasses resting on my nose right now, for example, have a CE marking inside them.

To sell any product on the European market the manufacturer must comply with the relevant regulations and can display the CE logo to inspire confidence in customers.

These regulations are standardised across the 28 countries of the EU (and the EFTA) to allow for the free movement of goods.

how about crazy expensive??