So far the only solution I know of is to take Google's Inception net and train/host it myself somewhere.
Try this - Clarifai is run my Matthew Zeiler, who's imagenet results really kickstarted the whole deep learning craze.
I've used their standard/general model for classifying most of the images for the search on my site, and would love to use custom models for various side project ideas I have, but the price is way too much for me ($0.46 per concept, per month).
Disclaimer: I'm the co-founder of CloudSight. We, of course, would also be happy to discuss a solution with you as well. You can contact us at: contact@cloudsightapi.com
Then in a single API call, you can upload a batch or single image and get a score for each image for each class in all your classifiers. There are limits to the size of the ZIP files you can upload, that's true.