You can try fanfiction websites like Archive of Our Own (AO3). It has a large collection of fanfictions, and there's a good chance you'll find 'The Blood of Olympus' fanfiction there.
In 'Blood of Olympus Fanfiction', many writers like to create new adventures for the characters. They might send the heroes on a different quest that was only hinted at in the original book. This can be really exciting as it shows new sides of the familiar characters and their abilities. Also, it can introduce new mythological creatures or elements that the original didn't have much room for.
One highly regarded fanfiction might be the ones that explore the characters' backstories more deeply. For example, those that focus on the early days of the demigods before the events of the book. It gives a new perspective on the characters.
You can try fanfiction websites like Archive of Our Own (AO3). It has a large collection of fanfictions on various topics, including 'The Blood of Olympus'. Just search for the relevant tags like 'Roman' and 'The Blood of Olympus' to find the stories you're interested in.
One popular fanfiction might be the ones that focus on character backstories not fully explored in the original. For example, there could be a story that delves deeper into a Roman character's journey before they got involved with the events in 'The Blood of Olympus'.
The most interesting aspect is the exploration of the demigod characters. Fanfiction can give a more in - depth look at their personalities, fears, and desires. For example, in some fanfictions, we can see how a demigod copes with the pressure of their dual nature. Another interesting part is the new plot twists. Writers can create alternate scenarios that deviate from the original story, like what if a certain demigod made a different choice? It makes for a very engaging read.
One possible plotline could be the gods using the blood of Olympus for some kind of power - up or restoration. Maybe they're losing their strength and the blood holds the key to their revival in a new, more powerful form.
One common theme is the expansion of character backstories. Writers often dig deeper into a character's past, like where they came from before they knew they were demigods. Another theme is alternative romances. Since there are many characters in the 'Blood of Olympus' world, fanfiction writers like to pair them up in different ways than in the original.
There are quite a few out there. 'The Blood of Olympus: Demigod Redemption' is a great one. It shows how some of the demigods who made mistakes in the original story are trying to redeem themselves. It has a lot of character development and some really emotional moments. Also, 'The Blood of Olympus: New Beginnings' is interesting. It starts right after the end of the book and shows how the demigods are trying to build a new life for themselves and the world of the gods. It has some creative ideas about how the different cultures of the demigods can co - exist peacefully.
Another place to look could be FanFiction.net. It has a wide range of fan-created works. However, the search might be a bit trickier as there's a lot of content. But if you're persistent and use different combinations of the words in the title, you might find what you're looking for.