Sure. You can check out fanfiction.net. There are often many works about different pairings there, and you might find some great Emil x Lloyd fanfiction.
One of the main themes is personal growth. In Emil x Aster fanfiction, you often see both characters evolving. For example, Emil might overcome his shyness with the help of Aster, and Aster might learn to be more patient. Also, the theme of mystery can be present. Maybe there's a mystery in their world that only they can solve together, which deepens their bond.
One great place to find Emil x Aster fanfiction is on Archive of Our Own (AO3). There are many talented writers who have created stories about them. Some might focus on their friendship, while others explore a possible romantic relationship between them. You can use the search function on AO3 to specifically look for Emil x Aster fanfiction.
There's also 'A Journey with Lloyd'. This fanfic takes the reader on an adventure alongside Lloyd. It has a lot of action and at the same time, the romantic undertones between the two characters are very engaging. The author does a great job of making the reader feel like they are part of the story.
One common theme is redemption. Since Harumi has done some bad things in the original story, many fanfictions focus on her path to redemption and how Lloyd can be a part of that. For example, he might forgive her and help her become a better person.
One common theme is friendship development. They start off as teammates in the ninja team and slowly become closer friends, learning to trust and rely on each other.
A good Lloyd x Reader fanfiction should have well - developed characters. The way Lloyd is portrayed should stay true to his original character traits while also showing his growth in the relationship. For example, if he's normally brave in the original work, that bravery should translate into his relationship with the reader in a believable way.
A common theme is friendship. Their bond as ninja is often explored, like how they rely on each other in battles. For example, in many fanfics, Cole might save Lloyd from a dangerous foe, showing the depth of their friendship.
I'd recommend 'The Adventure with Lloyd'. It's simple yet exciting. It quickly sets up the scenario where the reader gets involved with Lloyd. There are some really cool action scenes and the dialogue between the two characters is well - written, which makes it a great read for beginners in this type of fanfiction.