Bridgeport had Pleasure Beach as a large Amusement Park. (and its prior names).
Beardsley Park to my knowledge was never an amusement park but I included a page for it because it has a present operating Carousel and zoo. In older days it had it's 'casino'.
I saw mention of Water Slides at Seaside Park mentioned in an 1888 publication and I dug up the publication via microfilm.
So I'll include Seaside Park. Waterslides ? In 2007 they label such: Water Park.....--but don't want to stretch it too far...I don't include 'swimming pool only' parks and it's very touchy getting into 'water slide parks'. I include because I assume like probably 'every' large urban park at one time in history had some 'amusements'....
In 1870 Mr. Barnum commenced preparations for a great show and enterprise, comprising a museum, menagerie, caravan, hippodrome and circus, and to this show from that time on he devoted a great portion of his untiring energy. This he styled "The Greatest Show on Earth." This show opened for a few weeks in the spring every year in the large Madison Square Garden in New York, and during each summer it visited the principal cities in the United States and Canada, from Quebec and Montreal on the east, to Omaha, Nebraska, on the west, exhibiting under immense tents, in one of which could be seated twenty thousand persons. It consisted of a large menagerie of rare wild beasts, a museum of human phenomena and living specimens of savage and strange tribes and nations, including, without regard to cost, everything rare and marvelous which his wealth, energy and perseverance, and experience as a public manager could gather. The "Ethnological Congress" of this show contained the greatest collection of different types of strange and savage tribes gathered from the remotest corners of the earth ever seen together. The great elephant Jumbo, purchased by Mr. Barnum from the Royal Zoological Gardens, London, being the largest land animal seen for centuries, and forty other American and Indian elephants, including two baby elephants�these and scores of other trained animals transported on nearly a hundred railway cars belonging to Mr. Barnum, created an expense of five thousand to six thousand dollars each day and brought over a million dollars in a single season. In the latter years of his life Mr. Barnum took several experienced partners, the contract of copartnership extending for years, and arrangements were made for its continuance after that time by their successors. The winter headquarters of the show, which still bears Mr. Barnum's name, is located at Bridgeport, and the buildings and grounds are annually inspected by thousands.