First, we should define "Christian Persecution". What is happening in the United States, Canada, and Europe, where Christians do not get their way politically in every case, e.g. abortion is legal, divorce is legal, more people are leaving Christianity, etc. is NOT persecution. Persecution is when the lives or livelihoods of people are severely threatened or such people face legal hardships because they are Christians. There is persecution of Christians in North Korea, persecution specifically of Catholics in China, and persecution of Christians in general throughout the Islamic World, but especially in Islamic State of Iraq and the Levant.
P.S. It is not happening "worldwide".
Some examples of religious persecution in history include the Spanish Inquisition targeting Jews and Muslims, the Salem witch trials in colonial America, and the persecution of Christian minorities in the Roman Empire. Each of these events resulted in the suffering and deaths of individuals who were targeted for their religious beliefs.
Some argue that the illegality of same-sex marriage is a form of persecution (the main argument being that it is an infringement of their human rights and is a legal issue not a religious one)
farts
condom
food music
There are millions of examples of hyperbole. You could say that milk costs about a thousand dollars today for example.
Persecution of Christians, and maybe some others.
People migrate to a new location because of generally two types of reasons: there is something wrong with the place where they presently are, and there is some opportunity in the place where they are going. Natural disasters and religious persecution are important examples of the first factor, something wrong with a place where people are, which motivates them to leave.
push
Push factor.
Forced Migration.
Isn't it a beautiful day today?