You can start by checking out your local bookstore. Go to the sections for urban fantasy and romance, and look for titles that seem to combine both elements. Often, the covers or blurbs will give you an indication.
Another great one is 'The Fever Series' by Karen Marie Moning. It has a unique blend of urban fantasy with a strong romantic sub - plot. The story is set in Dublin and involves a lot of mystery, ancient magic, and a passionate relationship between the main characters.
Perhaps Vegeta Jr could challenge Vegeta to a sparring match. Vegeta, being the proud warrior he is, would accept. During the fight, Vegeta Jr might display some new techniques he's developed, which could both surprise and intrigue Vegeta. And in the end, they could form a stronger bond as they realize they share the same values and goals as Saiyans.
Since we should avoid the 'lemon' aspect which is often not appropriate, in general Vegeta is usually depicted as a strong and proud character. He might be shown as a mentor - like figure to Pan in fanfiction. Pan, on the other hand, is often a curious and energetic character. In non - inappropriate fanfictions, their relationship could be one of mutual respect and growth, with Pan looking up to Vegeta for his power and experience.
You can try fanfiction websites like FanFiction.net or Archive of Our Own (AO3). Just search for 'Harry Potter' and 'broom creation' in their search bars, and you'll likely find a variety of fanfics on the topic.
A possible plot twist could be that Vegeta Jr is actually an imposter sent to deceive Vegeta. He could initially seem like a legitimate Saiyan but gradually reveal his true motives, which might be related to an enemy's plan to take down Vegeta.
The story of Vegeta and Bulma in 'life happens vegeta and bulma story' is full of character development. Vegeta, the once cold - hearted Saiyan, started to change because of Bulma. He became more involved in family life. Bulma, on the other hand, had to deal with Vegeta's Saiyan pride and his constant pursuit of power. Their love story is not a typical one. It's about two very different individuals coming together. Their son Trunks is a symbol of their union. And through all the trials and tribulations in the Dragon Ball world, they managed to stay together and support each other in their own ways.
There could be a group of rebels in this other world who are fighting against an oppressive regime. Vegeta, with his combat skills, could be a valuable asset to them. And they could help him in his quest to find a way back home.
Often, Vegeta becomes more in touch with his emotions. He starts to care about things other than just fighting, like his family with Bulma. He may show more love and protectiveness towards her and their child.