In Massachusetts there are three official political parties: Democrats, Republicans, and Libertarians. In addition, there are 29 political designations, not considered official parties but a voter can enroll in any of them and the political designations can field candidates for state offices.
I suspect other states have similar things.
However, since the constitution requires that the president be elected by a majority of the Electoral College, there is an effective limit of two parties. Failure of the EC to achieve a majority leads to throwing the vote to the house for president and the senate for vice president just to confuse things further (per the 12th amendment).
My house doesn’t have a junk drawer. It has a junk wing.