A fun one is the Anglican Ordinariates which are in full communion with Rome and permit existing clergy to remain married while serving as Catholic priests.
The Anglican Ordinataries are actually a rather mild example as they're still under the Roman Catholic church.
The eastern Catholic churches are also in communion with Rome but have a far longer history of independence and also allow married men to become priests, even if they weren't married clergy before joining, which the AO doesn't allow: https://en.wikipedia.org/wiki/Eastern_Catholic_Churches
The Anglican Ordinataries are actually a rather mild example as they're still under the Roman Catholic church.
The eastern Catholic churches are also in communion with Rome but have a far longer history of independence and also allow married men to become priests, even if they weren't married clergy before joining, which the AO doesn't allow: https://en.wikipedia.org/wiki/Eastern_Catholic_Churches