Auto turn on after power on for an Android-based device If I'm not mistaken, if an Android-based device is turned off (or powers down due to completely exhausted battery) and then is charged up again, it will automatically boot only to battery charging mode1.

Is there anything (configuration switch, external application etc.), that would allow me to introduce such behavior to any other Android-based device? Or is this kind of behavior limited to mods only and I'd have to write my one mod to accomplish this?

1 The only exception, that I'm aware of, is my old good LG 540 with CyanogenMod 7 on board, which (for the reasons beyond my imagination, since I'm rooting or modding newbie) always powers on to full system, when charged up from off state.
It is a kernel (feature known as recovery) and you can't change this, unless you change your kernel with desired option enabled.

Didn't try this out, but Autosleeper Auto power ON-OFF application seems to do, what you want.