Most of the modern HO articulateds are double-articulated and will take much smaller curves than, say, a brass articulated, in which only the first set of drivers swivel, and the second set, under the firebox is rigid, which is how the prototype loco's were built.
Be that as it may, even rigid-frame articulateds seem to be able to take smaller radii than, say, a 4-8-4 or a 2-10-4. Although I know that some of the newer plastic locos are rated at 18" or above, I'd be leery of using a 4-8-4 or a 2-10-2 or 2-10-4 on anything under a 22", and would feel much safer with at least a 24" radius.
Most of my HO steam is brass, which means that they are largely built to tighter tolerances, and so my curves are much more generous--34" to 36" radius. Even at that, I have several brass 2-10-2's that squeal through the 34" radius, whereas my brass articulateds (2-8-8-2, 2-8-8-4, 4-6-6-4) glide through them with absolutely no problem. In fact, my older brass Yellowstones cut their teeth on a 24" radius when I was starting out, some years ago.
But I've heard of current plastic rigid-based steamers such as 4-8-4's and 2-10-2's negotiating 18 to 22" radius with absolutely no problems.
Seems to depend pretty much on what you're looking at as far as 'big' steam motive power.
Tom
Tom