Unfortunately they're not really a thing. Some grandfather/grandmother clocks came with moon phases, but innovation never made it further.
IMO mostly has to do with the fact that mechanical clocks didn't see much innovation over the past century. The most talented watch makers have gone on to watches and people largely stopped buying Grandfather clocks.
Not to mention, other obvious problems of weight, material costs, and the increased size requiring more power to turn all those gears.
Every 24 hours, advance the DoW through 360°/7 increments. At the same time, every 24 hours advance the DoM through 28, 29, 30, 31 increments. How do you now keep DoW and DoM in proper sync when DoM needs to be updated ~every other month?
Dang that's a shame. One would think though, if the mechanical design is already done for wristwatches, it should be trivial to port that design over to full-sized clocks, literally just scale the mechanism up!
I think at this stage of the game, none of these things are made for utility, they are made to flex watchmaking skill. Building something big isn’t as impressive and building something small. Unless you’re talking about the air clocks of Paris. Those are still rather impressive, because of the scale [0].
IMO mostly has to do with the fact that mechanical clocks didn't see much innovation over the past century. The most talented watch makers have gone on to watches and people largely stopped buying Grandfather clocks.
Not to mention, other obvious problems of weight, material costs, and the increased size requiring more power to turn all those gears.