I'm with Angie - it all depends on the details. For me (smaller frame, square but not broad shoulders, small bust, long neck, short waist) it can work really well if the shoulder drop is not too extreme, if the top is shorter (as Carla suggests and Chris's examples show) and -- crucially -- if the neckline is neat. A wide loose neckline will make the top slide around all over and feel awkward and look too casual and/or messy.

What I like about dropped shoulders -- if the fit is good, they are comfortable, easy to move in and convey an impression of ease and "cool."

Some that work in my closet...

Note, I am also a fan of a fitted shoulder. And a dolman sleeve or raglan sleeve. Again - it's all in the details of the specific garment.

What a great topic and set of responses! I have broad shoulders/large bust and generally avoid drop shoulders because I feel like they make me look larger than I’d like up top. But I do really like a cap sleeve and I have been puzzled that a cap sleeve often hits the same place on my arm as the seam of a drop shoulder. Why do I like one, but not the other! I am thinking from this thread that it might be the lighter weight of my cap sleeve tops.

I’m not against, per se, but think they are overused in production as a means of avoiding size- fit needs. I sometimes get a sweater with a dropped shoulder if the overall design and fit works.
I do think they read very casual and even in better knits, so I have to watch out , or else I’ll find something like a cashmere sweater with that won’t translate into a more polished or dressy outfit like I assumed it would.

They are not my preference, but indeed a I see them quite often. I find a drop shoulder doesn't layer well when it's on a long sleeve tee and I want to pop a blazer or jacket over it. But that could just be me.