If the item is actually still usable but you want to get rid of it, please use online portals such as http://www.kleinanzeigen.de or http://www.nebenan.de to give the items away. There is bound to be someone else who could make good use of it. It's definitely worth a try.
If the defective item can no longer be repaired, it should be disposed of properly.
Particular care should be taken with electrical appliances to ensure that they do not end up in dubious channels and then perhaps end up on a garbage dump in Africa to be "recycled" under terrible conditions.
Before disposing of defective devices, please cut off the power cable to make it clear that it is electronic waste and not a "used device" that can be "exported". This will also prevent the risk of further use of the defective appliance.
There are several recycling centers in Dresden that accept defective items.
Small electrical appliances (edge length up to 25 cm) can be handed in free of charge at any retailer with a total sales area of 800 m² or more that sells electrical appliances (even occasionally).
The nearest collection point can generally be found on this website.