Nice real data sets for testing DBSCAN?
If you want to test whether your algorithm works as expected, I'd use sklearn datasets. They allow you to create simple synthetic 2D data with certain properties: circles, half moons, etc.



If you want "real" datasets, here is an interesting resource found after a brief search:


https://uni.hi.is/helmut/2019/06/20/datasets-for-dbscan-evaluation/


It seems to be a collection of datasets used in the literature.

Otherwise, I'd recommend you to look for image segmentation datasets, for instance, maps, as they make good candidates for DBSCAN. Kaggle is good place to search, so is the Google Dataset Search tool