Recognition of LGBT relationships goes without saying in the developed world. People are not obliged to approve any form of non-heterosexual relationships but they are expected to show tolerance to other people who did their choice. Romantic relationships are a very private thing, and the third parties hardly have a right to intrude into the personal space of two people. But the whole world cannot become tolerant overnight, and it is natural. LGBT people do not expect everyone to understand them, especially referring to people of a different religion.
Presumably, legalization of homosexual marriage in all 50 states is close, but the remaining world has their own attitude on the question. Currently, 47 countries recognize LGBT partnership and provide for marriage and adoption. 85 countries give some form of legal protection to the LGBT community, be it employment or punishment of hate crimes. Among these countries, we find the US, Canada, Mexico, Brazil, Argentina, Colombia, Ecuador, and Chile. Most European countries, Australia, and New Zealand also offer legal protection and provide for LGBT marriage and adoption.
But the majority of African and Asian continents are not the same enthusiastic about LGBT communities. Total 72 countries criminalize non-heterosexual manifestations in some way. The death penalty is implemented in Iraq, Iran, Afghanistan, Pakistan, Saudi Arabia, Yemen, Sudan, and Mauritania. Many more countries imprison people for exposing LGBT views. Hopefully, 123 countries decriminalized or never penalized same-sex relationships.