The first example that comes to mind is the dodecahedral prism. The dichoral angle between the lacing prisms is the same as the dihedral angle of the dodecahedron, that is, 116.565°. Since the dichoral angle between the pentagonal prism and the square pyramid cells in the pentagonal prism pyramid is only 13.283°, and 2*13.283 + 116.565 = 143.131 < 180°, that means we can augment all of the pentagonal prisms with pentagonal prism pyramids to get a CRF omni-augmented dodecahedral prism with 2 dodecahedra, 24 pentagonal pyramids, and 60 square pyramids. The lace tower of this CRF would be x5o3o || o5o3A || x5o3o for some as-yet unknown value of A.
A similar augmentation of the great rhombicosidodecahedron x5x3x prism with pentagonal magnabicupolic rings (aka 10-prism||5-gon) should also be possible, though probably the 6-prisms and cubes can't be also augmented due to the dichoral angles in the 6-prism||3-gon being too big to remain convex.
In the same way, prisms of the other 3D uniforms with pentagonal/decagonal faces should also be similarly augmentable.
In any case, the interesting thing about the dodecahedral prism is that it can also be augmented with another kind of augment: the 5-pyramid prism (as opposed to the 5-prism pyramid). This augment can only be non-adjacent, and produces an (augmented dodecahedron)-prism, as opposed to an augmented (dodecahedral prism).

