Texas, for one. Texas has some rather bizarre rules on annexation and disannexation, particular for "home rule cities". Once a home rule city indicates a desire to annex some territory, the people who live in that territory have lost the war. They can't say "NO! We like things just the way they are." They can't say "NO! We're going to form our own city so you can't annex us."Where in the world's democracies are issues ever decided as you suggest?
Once annexed, it's even harder to get out. The residents might have a chance if they can prove without a doubt that the city is treating them and nobody else worse than dog doo, but all the city has to do is prove they are treating some other part of the city (e.g., the inner city ghetto) even worse. Otherwise, the residents of the affected area have to plea for a general election all in which all citizens of the city get a vote on whether the affected area should be disannexed.