"Nonetheless, there is a good deal of poetry that goes back to pre-Christian times and is accepted by scholars as genuine. Not necessarily singable, though."

I mean in Old Icelandic. In other places, and especially in Old English, there is hardly any, because it was suppressed.

Quite a bit survives in Celtic languages, e.g., _The Mabinogion_ in Welsh, but I've never studied this and can't say much about it, except that it is wonderful to read. (I have studied Old Icelandic and a few shreds of what I once knew survive in my memory.)