There are many out there. Some explore Bilbo's pain during his time in the Lonely Mountain, like 'Bilbo's Trials at Erebor'. It shows how the dragon's presence and the battles affected him deeply. These fanfictions often take the original character traits of Bilbo and expand on the idea of his hurt in different situations.
One idea could be that Female Bilbo Baggins joins a traveling caravan by accident. Maybe she was exploring the Shire and got separated from her group, and the caravan took her in. She could then use her wits and hobbit charm to make friends within the caravan, and they could have all sorts of adventures together, like facing off against bandits or discovering a hidden magical place.
A major theme in these fanfictions is the relationship changes. His friends, like the dwarves or Gandalf, might react differently to him as a vampire. Also, the theme of temptation is present. The urge to drink blood and how Bilbo resists or succumbs to it is often explored in detail. For example, in some stories, he has to find alternative ways to satisfy his vampiric thirst without harming the innocent. This adds a layer of complexity to his character and the story as a whole.
Self - discovery is also a theme. Just as Bilbo discovers his own courage and capabilities during his adventures, the OC may also be on a journey of self - discovery. They could be learning about their own powers, their place in the world, or their true identities, all while being influenced by their interactions with Bilbo.
The theme of discovery is also prevalent. Many young Bilbo Baggins fanfictions depict his discovery of new places, cultures, and ideas. This could be his first encounters with elves or dwarves, and how these meetings broadened his horizons and made him question the small - mindedness of some in the Shire.
One common theme is the exploration of gender roles. Since Bilbo is male in the original, making her female in fanfiction allows for a new look at how she would handle situations in a world with traditional gender expectations. For example, how a female Bilbo would be treated by male dwarves during their journey.
One great Bilbo Baggins time travel fanfiction is 'Bilbo's Unexpected Journeys Through Time'. It has Bilbo traveling to different eras in Middle - earth's history. He meets his ancestors and gets involved in events that shape the future of the Shire. The author does a wonderful job of keeping Bilbo's character true to the original while adding the exciting element of time travel.
The dwarves who had the adventures with him might also enjoy listening. It would be a way to relive their shared experiences and remember the comradeship they had. They might sit around a fire and listen as Bilbo recounts their journey to the Lonely Mountain.
One idea could be that Female Bilbo Baggins uses her adventures in the Shire as teaching lessons in Ered Luin. For example, she could teach about courage by sharing how she faced the spiders in Mirkwood. Maybe she also imparts knowledge about different cultures she encountered on her journey.