A really interesting plot could be that there is a world - merging event. The Naruto world and the Looney Tunes world start to blend together. Bugs Bunny becomes a sort of ambassador between the two very different cultures. He tries to teach the ninjas about his carefree way of life and at the same time, Naruto helps Bugs Bunny understand the importance of honor and hard work in the ninja world. There could be a lot of comical and action - packed scenes as they navigate this new merged world.
Maybe in the fanfiction, Bugs Bunny is a summon of Naruto. Naruto discovers a new type of summoning scroll that somehow connects to the Looney Tunes world. Bugs Bunny's abilities like his super speed (which in the context of the Naruto world could be seen as a unique form of chakra - enhanced movement) and his ability to talk his way out of trouble would be very useful to Naruto in his missions.
Another plot could be a love triangle situation where a new character is introduced and both Bugs and Lola have to figure out their feelings for each other and deal with this new rival. For example, the new character could be a suave and charming rabbit from a different forest who tries to win Lola's heart, which makes Bugs realize his true feelings for her.
One idea could be that they team up for an adventure in a new, uncharted part of the forest. Maybe they find a magical object that causes chaos and they have to work together to put things right. Another could be a story where Lola challenges Bugs to a series of contests, and through the competition, they grow closer and realize their feelings for each other. Or perhaps they get transported to a different dimension and have to rely on each other to find their way back home.
The plot might involve Bugs Bunny rescuing Penelope from some sort of danger. This heroic act makes Penelope see Bugs in a new light. They then bond over their shared experiences and gradually fall in love. For example, if Penelope was trapped by a mean hunter, Bugs could use his wits to free her and from that moment on, their relationship would develop.
A possible plot is that Bugs Bunny, while exploring a new territory, stumbles upon Kitty Cat's home. Kitty Cat is initially angry but Bugs' apologies are so sincere that she forgives him. They start to communicate more. As they get to know each other better, they discover they have a lot in common, like their love for warm, sunny days. However, there are some jealous animals in the forest who try to break them apart, but Bugs and Kitty stay strong in their love.
One possibility is that their baby would have Bugs' famous carrot - loving trait. It could be shown as a cute little addition to the Looney Tunes gang, with the other characters being both protective and amused by the baby. For instance, Tweety might tweet helpful advice to the little one.
One idea could be a crossover with Superman. Bugs Bunny's mischievous nature could lead to some really funny interactions with the Man of Steel. For example, Bugs could play tricks on Superman by using his carrot - related gadgets in unexpected ways, like using a super - powered carrot to make Superman slip and slide all over Metropolis. Another idea is a crossover with the world of Harry Potter. Bugs could find his way into Hogwarts and cause chaos among the students and professors. He might use his quick thinking and ability to dig tunnels to outwit the magic - users. Or perhaps a crossover with the Star Wars universe, where Bugs Bunny ends up on a strange planet in the galaxy far, far away and has to use his wits to deal with stormtroopers and Sith Lords.
Bugs Bunny himself is, of course, the most interesting. His quick - witted and laid - back personality makes him a great protagonist. Elmer Fudd also plays an important role. His bumbling attempts to catch Bugs Bunny add a lot of humor. Daffy Duck can be really interesting too. His rivalry with Bugs Bunny often leads to hilarious situations in fanfiction.
Well, it could be that Naruto discovers these ancient bugs during one of his missions. Maybe they have some special powers like being able to control chakra in a unique way. He might have to figure out how to deal with them, whether to use them for good or keep them from falling into the wrong hands.
One possible plot twist could be that their different species cause problems in their married life. For example, Bugs Bunny's love for carrots might be a source of annoyance for Penelope Pussycat who may prefer fish. Another plot twist could be the interference of other Looney Tunes characters. Maybe Daffy Duck gets jealous and tries to break them up. Or perhaps a villain from their world tries to use their marriage for some evil scheme.
It could be an evil wizard who wants to use the power of the ninja world and the wackiness of the Looney Tunes world for his own dark purposes. He might try to capture Bugs Bunny to use his unique abilities and Naruto to harness his chakra. This wizard could be creating chaos by merging parts of the two worlds in a harmful way.