What Christian traditions fully embrace the concept of a "local parish church"?

As far as I understand it, the concept of having parishes and parish churches means that regions are divided up geographically, that each region will have a church that is specifically dedicated to that region, and that everybody in that region is expected/required to be a part of that local church. I know that there is a huge variety when it comes to implementation. What I would like to know is what modern traditions fully embrace this concept to the point of enforcing it on some level. Are there any traditions that would refuse to let members cross parish lines to attend another church? Do any others with perhaps a less hard line rule have specific doctrines encouraging this but define exceptions where it might not be required?