Detergents without OBAs
Several "green" detergent brands, such as Seventh Generation, don't have OBAs--or at least didn't the last time I checked. I think this would be true of any real "green" brand, but in an era when "green" gets companies another sort of green, there may be "green" products that really are fancily marketed conventional detergent.
I've heard complaints that green detergents don't work as well. That may be true. In my experience (heavily using them for several years), it seemed like the cleaning wasn't as powerful. Although it's hard to say for sure--I've never tried any sort of formal test. Which would be a pain, since (ideally) the only variable that would change is the detergent--the clothes getting washed would be the same, with the same stains, same wash time, same wash temperature.
Still, I found products like Seventh Generation worked OK for most loads which didn't need super cleaning. And, of course, it's not an either/or thing--one can have a box of Seventh Generation for normal use, and a box of ultra powered something or other for tough loads.