Personal confession time: I love board games! We are living also in a reconnaissance of them as well.
However, there are not a lot of great (or even good for that matter) Christian themed board games. A long time ago when I was a kid I visited the Christian bookstore and saw the many monopoly rip-offs (but were reversed in a sort of “share and care -opoly”) or even cheep magic the gathering clones but with angels and prayer instead of creatures and mana. Sigh.
Despite those poor games that even as a kid I knew were bad, there are many good Christian themed games that have recently came out. There are many good games with themes are not offensive but specifically Christian themes are hard to find.
Thanks to the Dice Tower here is a video of 5 good religious themed games.
Note: they also have a good religious podcast dealing with Christianity and board games here: http://www.dicesteeple.libsyn.com/.