Do a weekly (or monthly) dinner. They key is consistency (OK an informality: byob, bring something you like, open invite instead of rsvps, etc).
Christians also have traditional Church attendance and so do Muslims and many other faiths I'm sure. The point is, traditional life revolved around a community. Today, everyone is very individualistic in the USA. They move out and have their own place, not just the men but the women too. The grandparents live alone and then are shipped off to nursing homes while the kids are shipped off to daycares. But it wasn't always like this. In our modern society we are disconnected like never before.