Here few examples of data use and reuse could your ideas on what can be done in your research to better use the available data:
Astronomy and Astrophysics Virtual Observatories (e.g., EURO-VO). They use the stored images already acquired instead of acquiring new images.
Data reanalysis (common at CERN and in climate science) with new algorithms searching for different phenomena not initially searched for.
Discovery by browsing existing datasets (a.k.a. Google Science). For example using the Google Dataset Search.
Find correlations between data and the corresponding metadata (e.g., the OMEGA project for bio-imaging of virion movement in cells).
Providing context for other data. Meteorological data to correct radio-telescope data.
Stimulate new usage patterns. For example every kind of Machine Learning, deep or not, substitutes the need of a model with the availability of (a lot of) training data.
Sure, there are many more examples. If you want send us (email@example.com) the missing ones.