The datasets used in Intro Stats 7e (De Veaux, Velleman, Bock) are publicly available at this GitHub site:
There are also a wide variety of data sources freely available from other organizations online.
Health Sciences
National Center for Health Statistics (Center for Disease Control) - links to publications and data organized by disease or health outcome
CDC WONDER is a portal for accessing and working with CDC data
Social Science
United Nations data (includes tourism, industry, education, environment, crime, population demographics, and more)
Social sciences data from the Inter-university Consortium for Political and Social Research (ICPSR) - the thematic collections can give you some ideas about topics and starting points.
College Scorecard data
data.gov: U.S. government open data
Gapminder tracks the U.N. development goals for countries around the world
IPUMS provides extracts of U.S. Census Bureau data. You will need to submit an online application describing your project and then wait a few days for approval before downloading data.
House Prices
Consumer Spending
Consumer Expenditure Survey, available from NBER (more user-friendly) or Bureau of Labor Statistics (BLS; complete data)
Climate Science
NOAA's historical climate and weather data
Sports
Baseball: The Guide to Sabermetric research from the Society for American Baseball Research recommends several data sources and explains what is available from each
Basketball: Kaggle NCAA data (requires a free account), data.world basketball datasets
Variety Databases
Europa Open Data Portal -- data ranging from a grassland butterfly index, to housing construction prices, to social beliefs
Google's Public Data Explorer to locate and visualize publicly available data
UCI machine learning repository: https://archive.ics.uci.edu/ml/datasets.php
Kaggle: https://www.kaggle.com/
FiveThirtyEight (yes, it's a data visualization blog, but they also make much of their data public!): https://data.fivethirtyeight.com/
GitHub: Awesome Public Datasets https://github.com/awesomedata/awesome-public-datasets
Datasets from Buzzfeed News on Github https://github.com/BuzzFeedNews
All datasets available in R packages are listed at https://vincentarelbundock.github.io/Rdatasets/datasets.html.