This isn't a good answer to what you are asking, but it might be the end answer you are looking for.
Rather than look for explicit God and Demon scenarios look at common Good Vs Bad Examples. Demons are heavily incoporated into the abrahamic religions and since its one of the more popular religions in the west and one of the religions we all grew up with, many people will naturally link Demons to the ones from the bible or popular media.
If you are looking for references related to appearance or powers, thats going to be up in the air. Popular media, cartoons, anime, comics, books, movies all have their own interpretations so I doubt anything you come up with will be super unique or different. If they are different from common depictions, it might be better to rename your demons into something else, just so people aren't naturally relating them to demons.
I was recently watching Sabrina on Netflix and their take on the Devil is particularly interesting. The Devil promotes free will. Why because God didn't want Adam and Eve to eat an apple, hence limiting their free will. The Devil promoted it by convincing Eve to eat it. (I might be butchering the lines, but you get the message). There are also other interpretations, like in the movie Noah, where the fallen angels are simply angels who tried to help humans against Gods will ( And fallen angels are basically demons ). Many new media have already done the take, that Demons aren't bad. They simply disobeyed God. Any number of them might make good references if you want to twist a traditional approach a little more.
The other thing you might be looking for is interactions between the half breed and its environment, people, friends, etc etc. In that case I would suggest not looking to the mythos behind Gods and Demons, and instead turn your attention to the treatment of Halfies when segregation was still popular. Their treatment by both white and black society would give you wonderful insights on how your half demon half gods will end up being treated. If you wanted a more positive outlook, then I would suggest looking into Halfies in asian culture (white + asian) and how they are perceived and treated.