The biggest difference that I'm aware of is that the Classical Greek religion was much more the religion of myths that we all know, while the Classical Roman religion had fewer personifications and its gods were much more like numinous forces than like people.
The Greek religion that we know was encapsulated by Homer who served in some respects like an Old ...
The Life of Brian is actually a quite good social science description of the process. There are some passages in the bible that could be read as Jesus himself being not voluntarily in that role. But since we have no solid historical data on this, lets turn elsewhere.
The mystic Benjamin Creme prophesied that the World Teacher would appear and that ...
This is a bad answer - I don't have sources available. It is my understanding that we lack a great deal of the sources needed for an emic understanding of Roman and Greek religious practice, and I think that's fundamentally what you're seeking.
Note that the differences between religions may not be obvious to the outsider. I've encountered Protestants who ...
You would do well to remember that there were very few similarities between Roman and Greek religion until the Romans began borrowing from the Greeks. For an idea of how utterly different Roman religion originally was from Greek religion, see for example Dumezil's Archaic Roman Religion.
This is a long answer, so here is a list of connections that the public could have made, in no particular order:
It was the work of the Gods and Goddesses
It was the manifestation of the spirit within the object
It was a form of magnetism
It was a miniaturised form of lightning
It was proof of hidden powers and magic of various kinds
It was some ...