I know this is an old post, but adding this here because I know I would have loved to find this comparison! tried to capture it in two different lights, but it's hard to actually get the right tone in the photo. Essentially i think the honey bronze is a very neutral colour, the champagne bronze is quite pink, and the kohler brass is very orange in some lights and almost greenish in others, it's very odd. Left is Top Knobs honey bronze Middle is Amerock champagne bronze Right is Kohler vibrant brushed moderne bronze

I ended up going with Emtek American Classic Mushroom Knobs in French Antique. They are solid brass and have a patina to them. They are well priced and I think will be a good match! All of the Emtek American Classic line comes in French Antique. There is not a ton of choices but enough to pick something. I did not find a pull I loved and did two knobs on the larger draws for a clean look.

If shopping on line that is always going to be an issue but with Amazon returns are really easy .

My lighting isn't great here. You've probably found some options, but just as an FYI, here are some color samples. The soap dispenser on the left is Kohler Moderne brushed brass. The one on the right is Hansgrohe Axxor Gold Optic. The button is Signature Hardware, but they've discontinued that finish on that item. The cabinet pull handle is Belwith Keeler Brushed Golden Brass.