CKY posted a cycle round once. Unfortunately, it only got four submissions. I won, but none of the submissions were any good, and my cards just weren't common at all. I redesigned them when the spoiler was updated. But I don't like how they got into the set without being voted on, and I was never satisfied with it.
So here's the criterion:
I'm going to take the liberty of changing Sun Golem's activation costs to
and 
to make this cycle easier to design. 
to destroy an artifact was mad overcosted anyway.Make a cycle of artifact creatures with converted mana costs
—, with Sunchaser Golem in the middle, each with a pair of one-mana sacrifice abilities in enemy colors.Sunchaser Golem —
Artifact Creature — Golem
, Sacrifice Sunchaser Golem: Destroy target artifact., Sacrifice Sunchaser Golem: Destroy target enchantment.2/2