Eclipse Comics didn’t really focus on anthologies, but they did publish a really good one very early: The Eclipse Magazine. Then they stopped, and Eclipse publisher Dean Mullaney explains why:
DM: Ask anyone in publishing why they don’t take the eclectic approach to anthologies and they’ll all tell you the same thing: bad sales. Most readers want something predictable, something pigeonholed. But that shouldn’t be the entire reason for publishing. Eclipse Magazine sold well; not great, but well enough.
So after cancelling Eclipse Monthly in the early 80s, Eclipse never again did a general, eclectic anthology. But they did publish a handful of anthologies that was in different genres: Horror, sci-fi, whatever The Dreamery was, action/adventure, and current events.