Chords and scales are the same in that they are both keyboard partitions of twelve, so my answer is the same as I gave for the similar question about scales. However, I believe the whole question has very interesting and deep ramifications.
I have found that, over the years, I will "discover" a liking for a certain chords or scales (note partitions) and play them all over the place until relative to me they slowly become hackneyed. Then some other elements take their place in my musical psyche. These musical molecules may not be chords or scales, they may be combinations of several musical elements. As I progressed I coined the term "cells" for these musical objects of meaning. Ones I return to and habitually use, I term "attractors".
As I age, I am becoming a horrible example of objectivity, and tend to treat all musical cells (they're practically impossible to define) as organisms with equal rights to musical life.
So once again, favourites ? No, I don't think so.