People don't generally realize how large and specialized the activity picked up by an EEG actually is. All kinds of sub-EEG activity can be going on, not picked up by scalp electrodes. Check out the wiki article on EEG's.
Addtionally, even seizure activity, if it is localized and deep enough, won't register on a surface EEG. Check out the abstract of this paper:
http://www.ncbi.nlm.nih.gov/pubmed/3137487
People being prepared for brain surgery to remove a seizure focus often will have depth electrodes implanted in their brains (through small holes in the scull) to help pinpoint the troublesome area. These depth electrodes often record many more simple partial seizures than the surface EEG's ever pick up.
As the wiki article points out, to be picked up by a surface EEG, neuronal activity has to involve "thousands or millions" of neurons firing synchronously.
So, a surface EEG is not a reliable indicator of "brain death", or lack of brain activity. The best that could be claimed for a flat surface EEG is that it is an indicator of low level cortical activity.
As for brain activity during hallucinations, google it and see what you come up with. The couple things I recall reading found the frontal lobes of hallucinating schizophrenics to be just about asleep (but that was specific to schizophrenia). Simple partial seizures (hypersynchronous neuronal firing) can cause all kinds of sensory hallucinations, but, as the paper I linked to points out, only about 20% of simple partial seizures are picked up by a surface EEG.
The OBE with autoscopy comes up fairly often as a simple partial seizure symptom. There are also a lot of examples of plain autoscopy (no floating sensation, just the experience of seeing yourself from the outside.) The NDE is more elaborate, but you should be aware that oxygen deprivation is a common cause of seizures, which ties in for obvious reasons. People with a disorder called
syncope, for example, will faint, and some of them will proceed to have grand mal seizures from the oxygen deprivation that caused the faint.