A common characteristic is the exploration of their individual traumas and how they help each other heal through love. Derek has his past with his family and the werewolf pack, and Stiles has his own issues dealing with the supernatural in his town. In the fanfiction world, their love becomes a way for them to grow and become better versions of themselves.
Supernatural elements are also common. Since they are from a supernatural - themed universe, things like werewolf lore, magic, and other mystical elements play a big role in the fanfictions. It adds an extra layer of excitement and mystery to their relationship.
Often, these fanfictions focus on the unique bond that knotting represents between Derek and Stiles. It's a way to explore their relationship on a deeper, more primal level. The knotting aspect can add a sense of possessiveness and protectiveness in their relationship.
Good 'Derek kisses Stiles' fanfiction often has strong character development. It shows how Derek and Stiles grow closer over time, and the kiss is a natural progression of their relationship. For example, they might start as reluctant allies and then slowly fall in love, leading to that special kiss.
One characteristic is the display of a deep emotional connection. When Derek calls Stiles 'baby', it often shows a level of closeness and care that goes beyond just friendship. It can also be a sign of possessiveness in a romantic sense. Another aspect is that it usually adds a touch of softness to Derek's character, who is often depicted as a tough and brooding figure in the original series.
One great one is 'Moonlight and Affection'. It beautifully depicts Derek's inner turmoil as he falls for Stiles. The author does an amazing job of showing their growing relationship through shared adventures and quiet moments.
One common theme is the struggle with identity. Since they are in a supernatural world, both Stiles and Derek have to come to terms with who they are as individuals and how their relationship fits into that. Another theme is acceptance. They often have to accept their feelings for each other in a world that may not be entirely accepting of their relationship.
Often, the M rating indicates that the fanfiction may contain more mature themes like intense emotional situations, deeper exploration of relationships. For example, it could involve more complex love - hate dynamics between Derek Hake and Stiles.
Common themes would include the power dynamics between Derek and Stiles. Since Derek is in heat, there might be a shift in the power balance in their relationship. There could also be a theme of protection. Stiles might feel the need to protect Derek from potential threats while he's in this state. And of course, love and attraction are likely themes, as the situation could intensify their feelings for each other.
You can try Archive of Our Own (AO3). It has a large collection of fanfictions, including many about Derek being in love with Stiles. The site is well - organized, and you can easily search for the specific type of story you want.
One common theme is self - discovery. Since Derek is a complex character, many fanfictions focus on him learning more about himself. Another theme is friendship. Writers often explore the relationships he has with other characters in the story. Also, adventure is a popular theme. Derek is often put into exciting and dangerous situations in fanfiction.