I would love to see a trophy case-style display for those hard-earned icons. My first thought was that it should be called a "Household Shrine", but that might be confused with the regular shrines.
That would be nice. It should have the choice to tithe all the icons too.
I would also like to dedicate my house to a certain giant. This would give in return 50 favor a day. Maybe a feature in house customization. It would require an icon.
I like the idea of a display for icons, but I'm not certain that I want them all in the same place in my house. Maybe we could have multiple wall mount, picture frame type display cases that we could put anywhere in our homes and that each hold a single icon. Or they could be available in different sizes...
I'd love a place to put my icons - they look a bit messy on the floor. When I lived in a tree house my very first icon seemed to hang nicely on the ladder to my garden :) It would be good to have a choice as to where your display goes as well, as at the moment I try to avoid walking past them if I'm low on mood because one day I walked in after croaking (I don't like croaking in my house) and one of them awarded me 0 xp :(