The Helioviewer PHP SDK by Helioviewer interacts with the API to access solar visualizations, useful for scientists and educators. It requires cURL for installation and development. Authentication and usage available.
We have covered BigML.com API for making machine learning models here before. Recently BigML made some innovative changes including new data visualization and new classification ensemble models, all doable by API. Here is an interview with Fransisco J Martin, CEO of BigML.com.