My fellow players and I have been kicking around a few ideas for items in H&H, and we recently came upon a fun one--the ability to create gallows, in which one can hang bodies as a warning to others; it'd be especially nice if the bodies could have messages left on them saying why the person was killed. The gallows wouldn't necessarily have to kill people; we just liked the idea of leaving the bodies of criminals dangling outside our docks to ward off raiders.
On that note, other things to do with dead bodies could be interesting--graves, mausoleums, and so on. They would essentially be containers for human bodies (and any burial goods one may want to add); they may provide interesting combinations with ancestor worship, so that leaving grave goods for one's ancestor would help gain Numen.