I think he'd do pretty damn good against Falcon, Widow, Hawkeye, Black Panther. In fact I think he'd clean the floor with 'em. Then again, they're just guys in suits too. But none of them have achieved the feats the likes of Batman single-handedly. Ok, not in the limited comics that I read in my younger days anyways, obviously I'm happy to be proven wrong in this regard it's just theory anyway. They just seem more like support characters, for when things need to be dealt with kind of subtly.
The rest, I think he'll have his hands a bit full. Captain at the bottom of the list, then progressively getting harder (considering his fight against Superman, even when Bats was old, was not won easily and only because he exploited Supes weakness):
-Captain America: pretty one-sided predictable method of fighting, but still as fast and definitely hell lot stronger than Bats
-Hulk: He's only low on this list IF Bats has a way to turn him back into Bruce, chemical or otherwise. If not, then bats is screwed.
-Iron Man: Plenty of tricks up his sleeve, a hard fight to plan for, and like pointed out above, he's probably got protection against the obvious things like EMP attacks
-Spider Man: About on par with Iron Man, but mainly because his spider sense makes him damn near impossible to pin down and land a hit on. So it would have to be a matter of tricking him into something. And include counter-measures against that webbing.
-Thor: Face it, this is just another Super Man fight, with no obvious weakness. So, I don't think so man.
-Vision: Don't know enough about him to comment, sorry. Thanks if you made it reading this far though!