There are some sites that host fanfiction, but it's important to note that many of them may have content that violates terms of use or is inappropriate. Archive of Our Own (AO3) is a popular site that has a wide range of fanfiction, including some that could be considered 'lemon' in nature, but it has strict tagging and content warning systems in place. FanFiction.net also has a large collection, but again, you need to be cautious when looking for such content as it may not always be in line with ethical or family - friendly standards.
FanFiction.net is also popular. It has been around for a long time and has a huge number of stories. There are different categories based on the type of media the fanfiction is related to, like movies, TV shows, books etc.
The New Yorker website is great for short stories. They often publish works by renowned authors. Their stories cover a wide range of topics and writing styles. Medium is also a wonderful site. There are many users who post short stories there, and you can explore different themes and voices. Additionally, FictionPress is a popular choice. It allows writers to share their self - written short stories, and you can discover unique and interesting tales among the numerous submissions.
National Geographic Kids has some amazing adventure stories, especially those related to nature and exploration. It's great for kids and also has some interesting content for adults who love adventure tales.