In case you want to see a map of civil townships for just one county at a time, here is a list of ALL U.S. Counties showing townships:
This will give you maps that look like this, using Champaign County, Illinois as an example:
If you want to view ALL civil townships on one map, just use the Civil Townships map tool. There are also options to overlay civil townships on many other map tools, including in the lower left of the Historical U.S. Counties tool:
If you’re looking for historical county maps, you can use the interactive Historical U.S. Counties map tool or see a listing of all Historical U.S. County Maps by state by year. On the historical county map tools, there is also an option to overlay present-day townships.