Yes we can all agree on the first level split of fiction vs Non-fiction. Here the only sticky area is how you separate religion/myth/folk tale.

The second level split most people will agree on is the plot or setting genres.

For setting we have Now in this world, historical in this world, or a speculation about other worlds.

For plot you have mystery, adventure, romance, thriller, drama.

After this level of splitting you start getting an infinite amount of sub-genres.

I think the OP is asking about new second level splits.