Should I shred documents with only name and address details?

Shredding this information should provide some minimal protection against identity theft, and would be a good idea. However, people can still usually find this information (e.g. online, or in a phone book), so the protection gained from shredding this information is limited.

However, there is usually other information attached to the document which could be useful to potential identity thieves, and others wishing to do bad things. This makes it more compelling to shred this information, but I would still say the risk is fairly low (depending on who you are and what the document is). If you are a business executive (e.g. like Bill Gates), or some other "high value target", I would highly suggest shredding this information. Furthermore, if the document contains any sensitive information (e.g. medical or financial records), I would definitely shred the document instead of throwing it away.

Elder relatives are very susceptible to this kind of fraud:

1. A person digs through paper in a dumpster.
2. They find out papers which hold personal information. Even a little bit sometimes is enough, e. g. name of employer, bank, school etc.
3. When they have enough, they identify means of contacting relatives of the person whose information they have just collected.
4. They contact the relatives, assure them that they call on the personally identified person's behalf, and upon confirming fraudability of the potential victim they proceed to trick said relatives into giving the fraudsters a sum of money, oftentimes quite large.

This thing was popular once around where I live, and the information was indeed pulled out of dumpsters, but that was around 2000-2005, well before facebook and linkedin. While I believe the criminals prefer to use facebook instead of dumpsters to get all sorts of info required for this kind of fraud, I still shred any document with any name on it appearing anywhere.