One example is the story of Romeo and Juliet. Their families were feuding, which made their love seemingly impossible. Another could be the love between a human and a mermaid in some fictional tales. The differences in their natures and the worlds they belong to create an impossible situation for their love to thrive.
In 'The Great Gatsby', Gatsby's love for Daisy was somewhat of an impossible love story. Daisy was from a different social class and was already married. Gatsby's attempts to win her back were constantly thwarted by the reality of society and her own indecisiveness. His dreams of being with her were ultimately unfulfilled.
One example could be a student from a poor family who couldn't afford proper study resources. But through hard work and using free online courses, they managed to ace their exams and got into a top graduate school. They spent countless hours in the library using borrowed books and public computers.
One example is the movie 'Avatar'. The main character, a human, falls in love with an alien - like being from Pandora. Their love is impossible in the sense that they are from different species with different anatomies and cultures, yet they manage to form a deep emotional bond.
Another is the love between Heathcliff and Catherine in 'Wuthering Heights'. Their different social classes and Catherine's decision to marry someone else for status made their love impossible. Heathcliff's love turned into a vengeful obsession as a result. Their story is a complex exploration of love that can't be fulfilled.
One impossible ability could be the power to time - travel freely within the Naruto universe. This would disrupt the whole timeline and sequence of events in the original story. Another might be the ability to instantly resurrect any fallen character without any cost or consequence, which goes against the finality of death in the Naruto world. And perhaps the power to control all the natural elements simultaneously with no training, while in the original Naruto, mastering multiple elements is a great and difficult feat.
In some fanfictions, Naruto might have the power to control time. For example, he could freeze time during battles to gain an advantage. Another impossible power could be the ability to instantly teleport to any location in the ninja world without using any known jutsu. He might also have the power to communicate with all living beings telepathically, which is not part of his original abilities in the official story.
One impossible real love story could be the love between Romeo and Juliet. Their families were bitter enemies, making their love seemingly impossible from the start. Social barriers and family feuds made it extremely difficult for them to be together. In the end, their love led to a tragic outcome.
Some cringe love stories involve people who are in love with the idea of being in love rather than the actual person. They might go on dates and pretend to be head - over - heels, but it's clear they don't really know or care about the other person's true self. There are also those who use love as a means to gain popularity or social status. For example, a person dating someone just because they are popular in school or at work, and they make a big show of their 'love' which is really just a ploy for attention and is super cringe.
In 'The Phantom of the Opera', the Phantom's love for Christine was a cursed one. His disfigured face and his dark, possessive love made it impossible for them to have a normal relationship. Christine was torn between the Phantom and Raoul, and the whole situation was filled with mystery, danger and a sense of doom.
In 'Wuthering Heights', Heathcliff's love for Catherine was all - consuming. When Catherine died, Heathcliff was so devastated that he essentially willed himself to die. His life became a slow decline after her passing as his love for her was so strong that he couldn't bear to live without her.
One example is 'Wuthering Heights'. Heathcliff and Catherine's love is dark. Their passion is mixed with revenge and envy. Heathcliff is treated poorly as a child, and his love for Catherine turns into a dark obsession after she marries another. Another is 'The Phantom of the Opera'. The Phantom's love for Christine is dark as he tries to control her life in the name of love.