Shorter Version - Minato is a Legend.
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Personality - it can be divided into three categories
1. Emotion - Minato is a Killer of highest level but also cried when he became a father or when his wife was about to die. He sacrificed his life for the village. In short a perfect shinobi, Leader and family man.
2. Attitude - Never Gives up. Doesn't want his colleagues/subordinates to give up. Doesn't underestimate/overestimate anyone. Again perfect shinobi, perfect leader. And yeah cried when his son was born, when his wife was about to die so again a good family man.
3. Behaviour - Minato's been the savior who everyone looked up-to. Everyone wanted to reach his level[Kishi's words not mine]