I can give you a little comparison of Bulls Eye and Sweet Baby Rays, but not on Stubbs. It has been too long since I have Stubbs here in the house and don't have any on hand. I actually have a little Bulls Eye (need to buy more) and several Rays.
I like both sauces (and like Stubbs as well). To me the Bull's Eye has a deep flavor and color that I would attribute to a higher volume of Molasses. I believe the Bull's Eye also has more of a smoke flavor compared to the Rays. The Rays is sweeter, undoubtedly due to a higher volume of corn syrup.
Now many here will think I have totally lost my mind with my next statement, but I will plead temporary insanity due to withdrawls from the Ice Man's Sopin' Sauce with an Attitude, but if I have any memory left of the delectable sauce, the Bull's Eye may be the closest to Ice's sauce (without the habanero back end).

See I warned you I was insane.
I favor the Bulls Eye over Sweet Baby Rays. My next experiment with the two sauces is to use some of each on chicken to check out a statement Mrs. Giz made that she thinks the Sweet Baby Rays will taste better on chicken then on Ribs. We actually just had ribs last weekend and I finished them with the Sweet Baby Rays. She did not like them as well this time as in the past. After making the previous comment tonight, She appears to be consistant. She didn't know which sauce she was tasting when I had her compare the two and rate them. She could not pick a favorite between the two of them though.