These United States and United Kingdom programs, both spawned out of response to Afghan and then Ukrainian refugee crises, are very limited compared to Canada’s. They do not have any legal power to initiate refugee applications. They allow citizen groups to be formally recognized as part of the resettlement process.
United States:
In October 2021, the State Department worked with the Community Sponsorship Hub—a new nongovernmental organization (NGO) designed to expand sponsorship in the United States by focusing on program development and capacity building—to launch community support for refugees. This allows five or more Americans to come together to welcome Afghan refugees after receiving rigorous training. The successful trial of Sponsor Circles set the stage for the Uniting for Ukraine program, which launched in April and has led to an extraordinary increase in the number of sponsors. Source: Foreign Affairs Magazine.
See this New Yorker article
United Kingdom:
Community Sponsorship is a UK government-backed, volunteer-led refugee resettlement scheme. Inspired by the Canadian Private Sponsorship of Refugees Program, Community Sponsorship was introduced in the UK in 2016. The scheme enables groups of local volunteers to support a refugee family for their first year in the UK. It is eligible to those from Lebanon, Jordan, Turkey, Iraq and Egypt who are displaced due to the Syrian crisis. (Wikipedia).