What did noble/elite houses look like in the Aztec Empire?

Thanks for writing to us. No, there aren’t any remaining examples, only foundations at best.
We feel we can’t do better than to quote from probably the world’s leading archaeologist on Aztec life, Michael E. Smith, from his (recommended) book At Home with the Aztecs, where he writes, referring to his field work at Cuexcomate, an Aztec site near present-day Cuernavaca:-
’Features of the Aztec nobility were borne out in the architecture of [the élite compound at] Cuexcomate. This compound differed tremendously from the mass of commoner houses at the site. Instead of small, rectangular buildings constructed at the level of the ground, [the compound] consisted of a series of connected platforms arranged around a central patio with a single entrance (pic 1). Stone foundations for rooms sat on top of the platforms. The stonework included many cut stones instead of the river cobbles used in commoner houses, and the floors and walls were covered with white lime plaster.’
The artist’s illustration by Felipe Dávalos (main picture) gives a very good impression - Dávalos is a renowned Mexican illustrator who takes great care to research his material...

Pic 1: Artist’s impression of the élite compound at Cuexcomate