Dobby's character could be developed further by showing his growth in confidence. After being freed, he could become more assertive in his actions and decisions, not just relying on his loyalty to Harry but also on his own sense of right and wrong.
One interesting plotline could be Dobby using his unique magic abilities to help Harry in a new and unexpected way, like finding a hidden magical artifact that could turn the tide in the fight against Voldemort. Another could be Dobby getting into trouble while trying to protect Harry at Hogwarts, causing a series of comical and heart - warming events.
The house elf might be very grateful. Harry is known for his kindness, so the elf could see this as a chance for a better life. It might immediately start serving Harry with great enthusiasm, believing that Harry will be a fair and good master.
There could be many possibilities. It might be an original character created specifically for the fanfiction. However, it could also be a well - known house - elf from the original series, like Dobby, who in the fanfiction somehow comes to be owned by Harry Potter in a different set of circumstances. Maybe Harry saves Dobby in a more complex way in this fanfiction and as a result, Dobby becomes his house - elf.
At first, Harry might be a bit annoyed by Dobby's antics. But as the story progresses in the fanfiction, he could notice Dobby's good intentions. Dobby's eagerness to serve and protect Harry could touch Harry's heart. Maybe Dobby saves Harry from a particularly dangerous situation that makes Harry see Dobby in a whole new light. Harry then starts to admire Dobby's tenacity. He may also be intrigued by Dobby's strange habits, like his obsession with odd - looking socks. This new - found admiration could lead to Harry becoming a big fan of Dobby.
Well, perhaps the house - elf is constantly tidying up in really cool ways. It could be folding clothes by magic so that they are always perfectly creased, or it might arrange the books in Harry's library in a way that makes it easier for him to find the exact spell book he needs at any given time. And it could also have a special connection with the other magical creatures around the house, like communicating with the garden gnomes and getting them to stay in line without causing trouble.
Dobby is often very popular in fanfiction. Since he was already a rather unique and brave house - elf in the original series, in fanfiction he can be portrayed in even more heroic or complex ways, like leading a revolution among house - elves.
In such a fanfiction, it could lead to Harry having a more loyal and protective companion. Dobby's magic and determination might aid Harry in unexpected ways.
In fanfiction, when Harry befriends Dobby, it shows Harry's kindness. Harry doesn't see Dobby as just a house - elf, but as an equal. This friendship can also lead to unique storylines. For example, Dobby might use his knowledge of the Malfoy family to help Harry against Voldemort.
There's also 'Harry Potter and Dobby: The Unlikely Alliance'. This one focuses on how Harry and Dobby team up against some dark forces that are trying to infiltrate Hogwarts. It's full of action and really showcases Dobby's bravery.