NH has no income or sales tax. I live here, they tax dividends 5 percent and they have a meal tax of 8 percent, but you can avoid the meal tax by not eating out.
While you can argue that taxing dividends is an income tax or taxing meals is a sales tax, it's also true that in Alaska the local cities and towns can have there own sales tax, this is not allowed in NH. NH has the second lowest tax burden per citizen next to Alaska. They have a business tax and have a state wide property tax on education. The local cities and towns are forced to pay for most of there funding through property taxes. Although the property tax is higher then most states it prevents waste which is why the tax burden overall is the second lowest in the nation.
If you take Massachusetts, for instance, the state legislators can keep giving more funding to Boston because the rest of the state pays for it, the tax goes up slightly and they get away with it, overtime it adds up but short term they sneak it in. In NH since the town has the pay for it they would have to raise property taxes for the town, you can only raise the properly tax so much before the people start to bark, as a results it forces the cities and towns to have a better handle on their budget.