I never thought about that.
I must say I have to agree with Ulrich.
I do like compounds a lot. Don't know why, but I just do. I finished the compound of 15 cubes one week ago and I am very satisfied with the result. I don't have a picture yet, since my wife will have to find the time to take one in her studio.
Another property I like is just having rotational symmetries, i.e. chiral models. E.g. the compound of 5 Tetrahedra. One personal favourite is
because the first time I failed miserably with that one. Also because it took me a while to find that one: a chiral model with folded regular heptagons with A5 symmetry.
Of the uniform ones I would say: Great Rhombicuboctahedron, for same reasons as Robert mentionas the Great Icosicosidodecahedron.
I remember that that model attracted me the first time I browsed through Wenninger's "Polyhedron Models".
I found the snubs in the back of that book amazing and I was blown away by number 117. I couldn't imagine anyone building such a complex model and I couldn't recognise how the faces were organised. I almost decided to build a model for that one many many years later, but in the end I decided to build a model for the compound of two of those instead. And even though the end result was a bulky model it will always be one of my favourites too.
BTW As always, great models, Robert!