Most jackets only have a small brand logo somewhere (breast, sleeve or neck) just like any other.

For instance (jackets I have):

-A Pringle rain jacket.
The jacket is dark olive to forest green. Brand name and logo are navy blue (on a sleeve) hardly visible.

-A FootJoy wind breaker/rain jacket (see picture initial post) khaki, with "DryJoys" embroided in black on a sleeve and a bronze coloured "FJ" logo in the neck...again not very flashy.

-An Ashworth windbreaker (pullover type) jacket dark green, logo and brand name embroided on a sleeve...also dark green (ton-sur-ton). Need good eyesight to see it...even when close.

-A Dunlop windbreaker...nylon on the inside, fleece on the outside. Jacket navy blue with "Dunlop Golf" emboided on the sleeve in white and a small white Dunlop logo in the neck. All small and very acceptable.

-A Cutter & Buck windjacket with a zipper, oatmeal with a small black embroided brand logo in the neck.

You see? it's not hard to find multi functional gear