Wolverine vs. Captain America
1st scenario: Wolverine doesn't have an Adamantium skeleton. And the general consensus is that Wolverine's healing factor is far better sans Adamantium. Cap doesn't have his shield but instead has a carbondanium katana.
2nd scenario: Wolverine has his Adamantium skeleton and Cap has the Muramasa blade.
3rd scenario: Wolverine has his Adamantium skeleton but can't use his claws. Cap has his shield.