I have had starlings struggle to feed from one of the typical cheap hardware-store variety of wire hanging suet feeders in the past, but we have never had them succeed or persevere in trying to feed from a not much more expensive variety from Wild Birds Unlimited. It was a simple cedar-type-roofed thing that hangs from a rope, with a screen underneath that meets so that it forms a triangle like the roof peak. The birds can't sit on top to reach around, and I guess flapping underneath while screwing one's neck upwards to peck is just too tiring for a hungry starling.

We had a starling who perched up on the apex of our roof, twirling his wings and singing his heart out, for many, many years. The starling family disappeared about the time some crows started nesting in our Ballard-Phinney neighborhood. A Cooper's Hawk flew through the yard a few times during that same season; at the same time the local house finches and English sparrows disappeared, (just from the immediate vicinity and from our feeders). The black-capped chickadees and juncos remained, as did the bushtits, and a Bewick's Wren seemed to take the place of the finch family.