The main characters are obviously Zim and Gaz. Zim is an Irken alien who is on a mission to conquer Earth, although he is often hilariously inept at it. Gaz is a moody and somewhat antisocial human girl who loves video games and is often annoyed by her brother Dib's antics. In a beach - centered fanfic, their personalities would interact in interesting ways against the backdrop of the beach environment.
Main characters would be Zim and Gaz. Zim, the Irken invader, is always getting into comical situations due to his misinterpretations of Earth culture. Gaz, the aloof girl, is more interested in her own world of video games. At the beach in the fanfic, they are like two opposite poles. Zim might be fascinated by the beach as a new Earth thing to study, while Gaz just wants to be left alone to soak up the sun or something, and their interactions drive the story forward.
Dib, for example, would probably be both horrified and intrigued. He might see it as another opportunity to expose Zim as an alien, thinking that this strange pregnancy is part of some evil alien plot. He would constantly be spying on them and trying to gather evidence. On the other hand, Gaz's friends might be more supportive. They would offer her advice on dealing with the pregnancy, like what to eat and how to stay comfortable. But they would also be a bit weirded out by Zim's involvement.
In this fanfic, Zim and Gaz could meet at the beach during a storm. Zim's ship malfunctions and he crashes near the beach. Gaz is taking shelter from the storm in a beach hut. They are forced to stay together until the storm passes. At first, there is a lot of tension and distrust. But as they share some of their snacks (Zim's Irken rations and Gaz's game - themed treats), they begin to open up and find that they have more in common than they thought, like their love for solitude in a way.
I'm not sure specifically as it could be various things. It might be a fan - made fictional story about characters named Zim and Gaz with a lemon theme. Maybe it involves some kind of adventure or relationship between them in a setting that has elements related to lemons, like a lemon - grove or a lemon - based product business.
Perhaps there is some sort of magical or technological mishap. Let's say a device Zim was working on malfunctioned and affected Gaz in a way that made her pregnant. Gaz, being the tough one, is determined to figure out a solution on her own, but Zim, realizing the gravity of the situation, tries to make amends and help. They could go on a journey to find a way to reverse the process or come to terms with it and plan for the future together.
One common theme is the 'opposites attract' idea. Zim is so outlandish and Gaz is so reserved, and fanfics often play on that contrast. Another theme could be 'unlikely allies'. Since they are both sort of outsiders in their own ways, some fanfics have them team up against common foes.
Common themes could involve character growth within their relationship. Since they are different characters, the fanfic might show how they change as they get closer or face challenges together. Also, it could touch on the idea of acceptance, like accepting each other's quirks and differences.
A common theme could be friendship. Despite their differences, writers might explore how Gaz and Zim could form an unlikely bond. Another theme might be adventure, as they both have unique personalities that could lead to exciting escapades.
There could also be other characters from the original Invader Zim series popping up in the fanfiction. For instance, Gir, Zim's robot sidekick. Gir's antics can often provide comic relief and also play a role in the relationship between Zim and Gaz. If Gir likes Gaz or is scared of her, it can create interesting situations that drive the plot forward.
Gaz is a rather unique character. She is often seen as a loner, very much into her video games. She has a rather dark and sarcastic sense of humor. She doesn't really have a lot of friends and seems to prefer it that way. Invader Zim, on the other hand, is an alien on a mission. He is overly confident, but also a bit clueless at times. He is constantly trying to take over Earth but his plans are always thwarted in the most comical ways.
There are many Zim x Gaz fanfics out there. One way to find them is to search on popular fanfic platforms like Archive of Our Own (AO3). Just type in 'zim x gaz' in the search bar and you'll be presented with a variety of stories. Some might be romantic, while others could explore their unique relationship in different ways, such as friendship or adventure - themed stories.