Ballot access laws for U.S. House are harsher than they are for any other office. This is ironic, considering that the founding fathers expected the U.S. House to be the most democratic branch of the federal government.
In four states, it has been over fifty years since both the Republican and Democratic Parties ran a candidate in each district in that state. The four states, with the last year in which both major parties had a candidate in each district, are: Florida 1926; Louisiana 1902; Massachusetts 1950; and Texas 1964.
As to third parties, Massachusetts has the worst record. No party, other than the Republican and Democratic Parties, has run a full slate since 1890, when the Prohibition Party did so. Also, in Georgia and Texas, no third party has run a full slate since 1894, when the Peoples Party did so. In modern times the Texas Libertarian Party would have run a full slate, except that it always chose never to run against Ron Paul, so it has never run a full slate.