Bobby
Bobby is in no way related to Moonee and the other children who live in the motel he manages, yet he acts like a father to most of the kids (he is also not obligated to help them out and act as their father would, but he does). Ultimately, though, Bobby is a nice man, but is surely ironic that he acts like a parent to the children when 1) he is not one and 2) most of the children have actual parents.
Halley
Halley is destitute (she lies, steals, cheats, and sells her body for money regularly), yet she spends an inordinate amount of money on herself on things she could go without (she and a friend go out on the town, for example). She is poor and presumably wants to do better financially, yet she acts in a way that suggests the opposite.
Moonee
Moonee is not yet an adult, yet Halley and a number of other people treat her like one. She is subject to constant crime, sex, violence, and very little adult supervision. Halley thinks Moonee is capable of taking care of herself; she is not. She is a small child.
Wealth
Perhaps the most important instance of irony in the film is one of stark contrast. Mere miles away from Halley and co.'s run-down motel (a symbol of poorness) is Disney World (a symbol of tremendous wealth). They are physically so close to it, yet they are so far away from it.
The Opening Titles
One of the first things audiences are introduced to in The Florida Project are colorful, seemingly vibrant motels (Kool & The Gang's jovial "Celebration" is played along with the opening titles). However, things are not as good as the opening titles would suggest. People are incredibly poor and unhappy; the circumstances don't call for a celebration. Not at all in fact.
