For example the Numerai hedge fund's data science tournament for crowdsourced stock market prediction is giving out their expensive hedge fund quality data to their users but it's transformed enough that the users don't actually know what the data is, yet the machine learning models are still working on it. To my knowledge it's not homomorphic encryption because that would be still too computational expensive, but it would be an ideal application for this.
Whatever Numerai has done to their data, there is no indication that they actually transformed it in a way that would hold up to a theoretical cryptographic adversary.
https://numer.ai/