With this kind of thing you need to define "radiation". We're going to discuss radio frequency electromagnetic interference. (RF EMI) For product testing categories, this is usually divided into
- intentional emission
- unintentional emission
- low-frequency
Everything which works by radio will be an intentional emitter. Wifi, bluetooth, wireless keyboards, etc. These are usually in a narrow band and at a very limited power level. The most powerful one you'll encounter in a normal home is a cellphone; these used to be powerful enough to bleed into your hifi (Why does GSM cause speakers to buzz?).
Beyond that, every bit of digital electronics is an unintentional emitter .. at very low power levels. Testing for this is part of CE certification. Devices which emit enough RF to interfere with radios are not permitted.
Below about 250kHz is not considered as part of this testing. Anyone in a building wired for mains electricity will be subject to a 50Hz field, and this can be quite easily picked up.
There's no evidence that any of this is harmful. The only thing which is subject to harm testing is the amount of radio energy absorbed by the head of somebody talking on a cellphone; this is covered by the EU "SAR" limits.