Here the fight in question. (Please click on links to see scans.)
Still possibly mind controlled, he sneaks up on Daredevil. Daredevil tries to richochette his club at Bucky but Bucky shoots it in midair. Wolverine comments he would have his money on Bucky. UPDATED: The fight really didn't continue as Wolverine, Hawkeye and Steve come in to put Bucky down.
Batman Vs. Winter Soldier: Batman wins. This is a long drawn out fight. Both Bats and Bucky are highly skilled fighters. Both carry a lot of standard equipment. The problem here is that Bucky doesn't have Steve endurance and durability. Bucky will get tired and Bats is slightly more Skilled and will take advantage of this. But it would be while before Bats could take advantage of this in the fight. This would be the same against Batgirl just faster. And Slade would beat Bucky too. I hate to say it but Bucky is the weak link on team Marvel. And Bucky is my Fav character.
Batgirl Vs Captain America: Batgirl would win. Batgirl is highly skilled fighter even more then Bruce. She has beaten her mother who is one of the most dangerous H2H fighters in DC (Lady Shiva.) Cass has even fought Slade to draw our she won the fight I can't remember haven't seen the scans in awhile. So in my opinion she would beat Cap. After some time this would also be a hell of fight to watch.
Deathstroke Vs Taskmaster: Okay this is too close to call.
But heres the problem Batgirl could beat anyone of the Marvel team 1 v 1 before the Marvel team could beat their opponent. Which means she would go help here teammates with there fights given DC a big advantage.
But Batgirl is also to OP too. You could replace Batgirl our Bucky. Are take both out and replace them with other characters.