Roboflow does! You can train your own model or choose from over 10,000 others have trained & shared[1].
To self-host just run
npx @roboflow/inference-server
Then you can POST an image at any of the models to localhost:9001 eg
base64 yourImage.jpg | curl -d @- "http://localhost:9001/some-model/1?api_key=xxxx"
And you get back JSON predictions.
There are also client libs[2] and sample code[3] for pretty much any language you might want to use it in. You can also run any of the models directly in a browser with WebGL[4], in a native mobile app[5], or on an edge device[6].
[1] https://universe.roboflow.com
[2] https://github.com/roboflow-ai/roboflow-python
[3] https://github.com/roboflow-ai/roboflow-api-snippets
[4] https://docs.roboflow.com/inference/web-browser
[5] https://docs.roboflow.com/inference/mobile-ios-on-device