In the beginning, their relationship would be tense. Female Vegeta may look down on Goku because of his humble origins compared to her royal Saiyan bloodline. However, as Goku continuously shows his strength and growth, Female Vegeta would have to acknowledge him. They could then start to train together, which would lead to a lot of bickering at first. But as they push each other to their limits, they would develop a mutual understanding. Eventually, this could turn into a strong partnership where they trust each other completely in battle and in other aspects of their Saiyan lives.
It could develop in a rather comical way at first. Goku's simple - mindedness might annoy Female Vegeta who is used to a more formal and proud Saiyan environment. But then, when Goku shows his incredible power and determination in battle, Female Vegeta would be intrigued. As they interact more, she might start to understand his way of thinking and they could form a bond. For example, during a long and tough battle against a strong foe, Goku's positive attitude might inspire Female Vegeta to fight harder, and that could be the start of a deeper connection.
It could start with mutual respect. Goku respects Female Vegeta's strength, and she respects his. Then, they might have some friendly competitions which gradually lead to a closer connection. For example, they could compete in a tournament and after the fight, instead of being enemies, they start to understand each other better.
The relationship could develop from a simple rivalry. They constantly compete to be the stronger one. However, in a particular fanfiction, during a life - threatening situation, they have to rely on each other completely. This makes them realize that there's more to their relationship than just competition. Female Goku might show concern for Vegeta in a way that surprises him, and he starts to have feelings for her. And from there, their relationship evolves as they explore these new emotions.
One interesting plot could be that in an alternate universe, Goku and Female Vegeta team up to face a new and powerful enemy. Their different fighting styles, Goku's carefree yet determined approach and Female Vegeta's proud and tenacious nature, would create an interesting dynamic during battles. They might start off not getting along well due to their pride but gradually learn to respect and rely on each other as the threat becomes greater.
Their relationship could develop through mutual respect for each other's strength. Goku, being the pure - hearted Saiyan he is, might start to see that Turles has potential for good deep down. Turles, on the other hand, could be in awe of Goku's power and gradually change his view of Goku from an enemy to a rival and perhaps even a friend.
One common theme is rivalry - turned - friendship. Their initial intense rivalry gradually transforms into a deep bond as they face various threats. Another theme is power - up. They often find new ways to increase their power together, like in some fanfictions where they discover a new fusion technique.
It often starts with a shock or surprise at the mpreg situation. Then, they gradually learn to rely on each other more. For example, Vegeta might start to show a more caring side that he usually hides, and Goku might become more responsible. They'll have to communicate more, sharing their fears and hopes about the future with the baby.
At first, they might still be competitive. But as they face the challenges of the different time periods together, they could start to respect each other more deeply. For example, if they are in a time when they are much weaker, they would have to rely on each other's skills more.
At first, Female Vegeta would probably be dismissive of Goku. She's proud like Vegeta in the original series. However, Goku's pure heart and determination could gradually wear her down. They'd start training together, and during these training sessions, they'd share their fighting philosophies. This exchange of ideas would be the foundation for a deeper connection. As they face tougher opponents and Goku saves her life or vice versa, their bond would strengthen and evolve.
One popular story could be 'The Bond Beyond Rivalry'. It explores a deeper friendship between Goku and Vegeta as they face a new, extremely powerful enemy together. Their combined power and the way they start to understand each other on a more personal level makes it an interesting read.
There's 'The Unspoken Feelings'. This fanfiction really focuses on the subtleties of Goku and Vegeta's relationship. It's full of moments where they start to understand each other on a different level, which is really interesting to read for fans of this pairing.