Was The Prince like Kuzco?

To be honest, Adam came across as being a LOT nicer in demeanor than Kuzco did even BEFORE the curse. Sure, he was a jerk, but at least Adam didn't try to have an entire village destroyed just to make room for a summer home, not to mention Adam actually honored his end of the bargain regarding Belle, while with Kuzco, he actually DID attempt to backstab Pacha at the first opportunity that presented itself.

In some ways might think so and I might turn to lead towards nom, I mean before they get their curses they are both selfish. Cuzco was not a prince, but more of an Emperor, and he was also shown to be a smarty pants where in the narration of this movie we don't hear any dialogue between the prince and the enchantress. Only the fact that she wanted shelter from the bitter cold, and she offered a rose in return for shelter form the cold, but he turned away. But she warned him not to be deceived for beauty is found within, and when he he dismissed her again her ugliest was melted away to reveal a beautiful enchantress, and he begged for forgiveness but it was too late for she had seen there was no love in his heart and for punishment she turned him into a beast and placed a spoil on the whole castle. Now Emperor Kuzco was also selfish and he wanted to kick Pacha and his family out of their home, to turned into a summer getaway for only him. And he was also pretty selfish, and one way he was shown to be a smartypants, was when Pacha asked him where would they live, and he said "don't know don't care".

The Beast is sort of like Kuzco in the sense they are both turned into a creature by an old lady as punishment for being conceited. The prince becomes a beast and Kuzco becomes a llama. Of course, Yzma is a villain but the enchantress isn't.

Avenged Sevenfold ships Fluttershy and Discord

In many ways, yes. The main difference is how the character of Kuzco is sarcastic and sardonic, due to his movie being a snarky and zippy story. The Prince/Beast is not as sardonic, as his movie is somewhat a departure from "The Emperor`s New Groove" (at least tonewise). So there`s a lot of more weight and pathos to the Beast, as he`s somewhat presented as a tragic figure. Otherwise, they`re both selfish and callous (despite how the movie never truly elaborates on what were the Prince`s cruel actions prior to the curse), but both manages to have a compelling arc at the end.