
Acting as a geographical stepping stone to the European Union for the millions fleeing the conflict in neighboring Syria, Turkey is home to by far the largest amount of refugees at 3.7 million. Colombia, neighbor of crisis-hit Venezuela hosts the second largest amount - 1.7 million.
According to UNHCR: "For nine consecutive years, persecution, conflict, violence, human rights violations and events seriously disturbing public order have fuelled an increase in the number of forcibly displaced people worldwide, a figure that stood at 82.4 million at the end of 2020. This worrisome trend has continued well into 2021. Six months into the year, the number of refugees under UNHCR’s mandate had surpassed 20.8 million (an increase of 172,000)"
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Source: UNHCR

The following data is based off of Pew Research's "The 10 largest refugee crises in recent times (since 1960), by number and population share." Note: Ukraine's refugee count and population share values are updated to reflect counts as of April 12, 2022 from the UNHCR. (End dates that are blank are ongoing events.)