How to keep screen OFF while charging (S3 and Note 2) Don't know if all the Galaxy phones have this behaviour, but it sure is annoying.
I like to keep my phone plugged in until I need it, as there is no harm done. The battery won't get "overcharged" or anything, and I'll have 100% juice with me when I leave.  

But both phones keep lighting up that they are done.
And it lights up the phone every few seconds, it's really, really annoying.  

Is there a way to disable this behaviour?
I too have not figured out the intermittent screen turn on problem but will address one other issued mentioned.

Lithium ion  batteries have internal circuitry which shuts the charging down when the battery is at 100%. Unless the electronics are bad, you cannot overcharge them. Leaving them discharged for long periods CAN harm them. You can get roughly 300 to 500 recharges, its best to not run it all the way down, recharge often, when not using it, the charges are cumulative, so a 30% discharged battery is best charged then, not when it runs down.

This can easily be verified at manufacturers web sites. Ive learned this from years of being involved in electronics and seeing the evolution of rechargables