Passier has a lovely brown color and their nosebands can be swapped out to one without a flash.
Schockemohle - the Tokyo brdle has a removeable flash tab and their leather is lovely. The Stanford is a wonderful bridle (I have one in brown) but the flash strap does need surgery. There is a version of the STanford without a flash (I can;'t recall the name) but it is hard to find in US. Mine actually came from England to get it without flash.
And lastly Total saddle fit now makes the Better Bridle. I have one and I really like it., Fully removeable flash. The noseband has “joints” where it can rotate to fit the face better. Many other features, some clearly lifted from the fairfax bridle (pads on noseband to lift it up). The brow band has adjustable postitions to allow it to better clear the ears… It’s pricy and a little tricky to fit but my horse loves it and good quality leather. Not super soft, but not still either… Ciomes in cob and brown.