He could also meet Odin. Odin might view Captain America as an interesting mortal from Midgard and might have some words of wisdom or a task for him to complete during his stay in Asgard.
Well, in Captain America Civil War 2, there's a major conflict among the superheroes. It mainly revolves around different ideologies and the role of superheroes in society. They have to decide how much freedom they should have in their actions and whether they should be more regulated.
The story in Captain America: Civil War centers around a political push to control the actions of superheroes. This causes a rift within the Avengers, with Captain America and Iron Man taking opposing sides. There's a lot of action, drama, and character development as they fight for what they believe is right.
Basically, the story centers on a disagreement within the Avengers team. Some think they should follow government regulations, while others don't, causing a huge rift and battle.
Well, perhaps Captain America could be on a mission to seek an ancient Asgardian weapon to help in the fight against a new threat on Earth. He might meet Thor and the other Asgardians, and have to prove himself worthy in their eyes, just like he did in his own world.
In 'Captain America: Civil War', the back story involves the Sokovia Accidents. The Avengers' actions had caused a lot of collateral damage. Governments around the world wanted to regulate the Avengers. This led to a rift among the superheroes. Steve Rogers (Captain America) was against the idea of being controlled by the government as he feared they might misuse their powers. He also had personal reasons like protecting his friend Bucky Barnes who was framed for terrorist attacks.
Captain America does die in the Civil War comics. This event has a huge impact on the storyline and the Marvel comic universe. It leads to various consequences and developments for other characters.