I’ve been working on a desert tileset with buildings for a few days now, and it’s now in a releasable state. Anything you could do with Mountainous from FE6/FE7 you can now do in the desert! Plus some desert-to-sand transitional tiles, better lakes, a proper grass tree, sideways doors and even a few tiles for moats. Aside from houses/shops/forts being moved it’s also 95% backwards compatible with existing desert maps.
Here’s a map I did for my project to test its capabilities:

Big thanks to Sme and Zoramine for the original Improved Desert which I used as a starting point.