What are these games like?

Ive been playing a lot of Horizon Zero Dawn, (one of the most beautiful and amazing games imo) and from the looks of it these games (World and Rise) seem similar to the Horizon series.

But after reading about it, these games are apparently very different, with Horizon being more like a story based game with open world while Monster hunter is more of a combat challange.

Is World more story focused, while Rise is more about combat? Do either games have much hunting and trap setting like Horizon does? I hope both games at least have a lot of beautiful and majestic creatures, though. Thats one of the best parts in horizon.