You can access and download qualitative data for research purposes from the following sources:
Dataverse was first developed at Harvard University (now called Borealis in Canada). Its repository focuses primarily on data from social sciences but also has a wide range of data from other fields. Many are open access, and you can enter keywords like "qualitative" to get qualitative contents/datasets.
University of Toronto Dataverse
This is the research data repository for UofT faculty, students and staff. It contains many openly available datasets (e.g., CC By 1.0). You can access its open contents for your research and/or for practicing your data analysis.
This is a free research data repository for Lakehead University faculty, students and staff. The platform makes it possible for researchers to deposit and/or publish their qualitative or quantitative data, and get permanent DOIs (Digital Object Identifiers) that can be included in a research publication. It is a great tool for ensuring preservation and dissemination of research data.