After reading John Saxby comments on jackets, I have a few more comments. This is in addition to my previous comments which included the red jacket I was wearing in a photo in a previous post in this thread.
I think my rain jacket is a Marmot Precip. Waterproof, breathable, very light, has a hood but also has a pocket to put the hood into so it does not catch air when I ride my bike. Mine is over a decade old, they may have changed or discontinued it since.
On a bike tour I bring a light high vis color windbreaker for cycling, but that windbreaker is not really roomy. It flaps a bit but it is too tight to put my down vest under it.
But my rain jacket is roomy enough to put my down vest under it. If it gets cold, even if it is dry out the rain jacket is great for cutting the wind over a down vest. That is not as warm as a down puffy jacket because the sleeves are not insulated, but it is a pretty nice combination.
And there have been a few times when it was quite cold where I put my rain pants on, even though it was not raining because that extra windproof layer was pretty nice to have.
I bring a down vest on virtually every trip I go on. I usually keep my stocking cap in one of the vest pockets, as when I am wearing one, I am often wearing the other.
This thread is on rain gear, but my rain gear is part of a package that also includes cold weather gear, etc. I would be lost without a good wind jacket that I can put over my down vest when it gets chilly and my rain jacket serves in that role.
I mentioned in a previous post that I put my rain gear on top of my front panniers where it is handy. I do not have to open up any bags to access my rain gear, it is quick to grab it when I need it. My rain pants (black) are rolled up an don top of the left front pannier, the rain jacket (red) is on top of the right front pannier in the photo. She covers are next to the rain pants.
Sometimes I use panniers other than my Ortliebs, but only my Ortliebs allow something to be strapped on top. So, some trips my rain gear is packed inside a pannier instead.