The two broad categories of taxes are:
Income Tax for individuals and businesses. The link above also discusses tax prepareers and property tax.
Sales/Use Tax is the second category. Whether you must collect these taxes depends on whether you are selling a product or service, on the internet or via a MN store front. Generally products are taxable and services are exempt - however, there are many types of exemptions. The link above jumps to fact sheets by type of service/product. When in doubt contact the Minnesota Sales Tax Division.