Legally speaking, very many nations grant asylum, and religious persecution is one of the most basic grounds for granting asylum, following the 1951 Refugee Convention. This newspaper article compares asylum statistics in Ireland versus other parts of Europe. The Irish immigration authorities spell out the details for an asylum application. Note that you must already be in Ireland, to apply for asylum in Ireland (you should apply when you enter the country). One could also apply to Norway (almost an English-speaking country), but again you have to be in Norway to do so. There is a generic solution to the "what if I'm not in country" problem via the UNHCR, which can propose resettlement into various countries.
I need to add that getting a visitor's visa from certain countries can be extremely difficult. To take an example, Norway (which is fairly open to refugees) is pretty up-front on the chances of getting a visa, based on country. To take a random example, they are not very optimistic about visitor's visas from Iran, and they say "we consider how probable it is that you will return to your home country or the country you live in when the visit is over. We consider the situation in your country and your own situation", "If we believe that it is unlikely that you will return, your application will normally be rejected" and "If you plan to visit Norway as a tourist, you will normally not be granted a visa". This is the fundamental problem that refugees face, the problem of getting there.