After Napoleon III abdicated and the provisional government rejected the heir, the Prince Imperial, Bonapartism remained in France as a political force - hoping first to restore the Prince until his untimely death at the hands of Zulus, and then his cousin Prince Victor, who was notorious for his indecisiveness and proclamations from Belgium, where he was courting the Princess. H claimed he would come invade France during the Dreyfus Affair, but obviously never did. There is an anecdote that when Bonapartist newspapers asked what the number of Prince Victor would be (Napoleon IV, V, or VI), a contributor wrote in to say that it mattered not whether he was one of those numbers, but rather that he be a second Napoleon I.

Bonapartism survived until the Second World War, though it did not endure the Dreyfus Affair well, where despite its ambiguity to the concerned issue, was dragged down with the rest of the right wing parties. Lack of involvement from Victor and the development of politics meant that they became more and more obscure even as the new Prince Louis fought in the Resistance in WWII and met with De Gaulle...

Bonapartism in the late 19th Century however mostly took the form of a contrarian movement, same as the other monarchist/right-wing parties. With newspapers supporting the party, intellectuals writing and dueling (!) on its behalf, and foreign intrigue being involved. Typical French late 19th Century politics really.

It's a bit late at night so I don't have sources off hand, but I can dig them up for you if you have the time and want them (there's a book by an Indian author, and of course many primary sources).