WASHINGTON — Republican governors are moving aggressively to cut personal and corporate income taxes, including proposals that would increase reliance on state sales taxes, setting up ambitious experiments in tax reform that could shape what is possible on a national level.

Even as Washington continues to discuss, if not act, on ideas for making the federal tax system simpler and more efficient, governors, some with an eye on the next presidential race, are taking advantage of the improving economy and a gradual rebound in revenues to act.