From what I have heard about the Dr. he wins here.
Respira>>>>>>>>>>Stark and Ulquiorra.
At least three times against Soifon. When he was in just his sealed state, Soifon couldn't touch him and couldn't figure out why until he told her, he demonstrated to the point where he got behind her and casually rested his has on her shoulder, and this is the Captain that could keep up with Yoruichi and create over a dozen utsusemi clones. He also demonstrated it when she used her bankai. A common misconception is that Baraggan aged her bankai explosion. What he really did was dilate time so it wouldn't hit him, which is why it didn work when Hacchi put 5 barriers around him. Whether he could dilate time or not, there was no where to avoid the blast that he could go. Given that neither Ulquiorra nor Starrk have such an ability, they can never hit Baraggan, and if he weren't so cocky, he could slow time at will as he did against Soifon and casually kill them both.
Also when Ulquiorra creates Lanza, Barragan can appear behind him then touch his arms, once Lanza touches ground is over.