There are quite a few. For instance, when Naruto first realizes that Kurama actually cares about him. It's a moment of revelation for Naruto, and the way Kurama shows his concern, even if it's in his own brusque way, is really sweet. Also, during a particularly cold night, Kurama might use his chakra to keep Naruto warm. This simple act of kindness shows that Kurama is not just a powerful beast but also has a caring side. And when Naruto is doubting himself, Kurama tells him stories of his own experiences to inspire Naruto, which is a very heartwarming exchange between them.
Well, Kurama might train Naruto by teaching him how to better control and access chakra. Since Kurama has a vast amount of chakra, it could show Naruto unique ways to harness and use it. For example, it could guide Naruto in creating more powerful and complex jutsu by using their combined chakra in a more efficient way.
It could also be due to a misunderstanding. Suppose Naruto accidentally does something that Kurama misinterprets as a threat to its own existence. For example, if Naruto tries a new jutsu that Kurama wrongly perceives as an attempt to suppress it further.
Yes, unfortunately, Kurama passed away in the manga. This occurrence brought about a lot of changes and emotions for both the characters and the readers.
Naruto would gain better combat awareness. Kurama's experience in battles can be passed on to Naruto. He'll be able to read his opponents better, know when to attack and when to defend. This will make him a more formidable opponent in combat situations.
Well, in fanfiction, Kurama's human form could be a really imposing figure. He might have long red hair, just like his fox form's fur color, and bright, piercing eyes. Maybe he'd be tall and muscular, with a sort of wild, untamed look about him, still carrying that powerful presence that he has as a tailed beast.