If you want an AI model that maintains face identity while producing stylized imagery, check out IP Adapter Face ID. It lets you upload photos and then produce images in various contexts by conditioning on a face along with text prompts. It preserves the face identity and realism, so it's great for producing stylized imagery with a particular face.
Another good choice is ImagineMe. It lets you create your own AI models based on your own images, then generate imagery in different styles like AI avatars, headshots and fantasy portraits. It's got a range of art styles, including photorealistic and anime-inspired, and you can generate images with a prompt.
If you want something more flexible, PFP.AI offers a wide range of profile pictures based on your own images. With more than 357 styles ranging from realistic to fantasy, it can produce high-resolution output in 4K. It's a good way to spice up your online presence with more interesting profile pictures.