Here are some Examples of ICs from the ic.org directory. There are others.

https://www.ic.org/directory/boulder-county-lgbtq-affirming-intentional-community/

https://www.ic.org/directory/charlie-lake-lgbtq-house/

https://www.ic.org/directory/ecogay-community/

https://www.ic.org/directory/gay-mens-rural-community/

https://www.ic.org/directory/hedonisia-hawaii-sustainable-community/

https://www.ic.org/directory/laurieston-hall/

https://www.ic.org/directory/quinta/

https://www.ic.org/directory/union-of-intentional-gay-men-community-union-uranus/