The Naruto Gaiden anime story mainly focuses on the new generation. It shows the adventures and growth of characters like Sarada, Sasuke and Sakura's daughter. It also delves into the mystery surrounding Sarada's origin and her relationship with her parents. There are elements of family, friendship and the challenges that come with being a ninja in this new era.
There are quite a few. In the manga, Minato's backstory and powers are explored in more depth, while in some adaptations, they might be presented differently.
I don't know the specific name of the Minato manga off the top of my head. It could be related to a particular genre or have some distinctive features that might help identify it.