It would be a tight battle. Nightcrawler's agility and teleportation power would help him beat down Captain America with his punch-and-teleport rapid fire move, though after so much exertion with all the teleporting it would come down to wits and strength. Depending on the battle, either side could win.
Nightcrawler is notorious for using his acrobatic skills and sharp wit to get him out of sticky situations, though Captain America is just as witty and acrobatically inclined, with super human strength and training as a soldier to boot.
Luck and placement is a big factor. If it were in a busy street with lots of possible places to jump and set booby traps Nightcrawler would have an advantage, our little blue elf friend too cunning to fall for any traps Captain America would set up if he weren't so valiant.
In a Colosseum with no places to hide and little chances for trickery and acrobatics Captain America would most likely win with his brute strength, though I believe that the whole speed punching mentioned at the beginning of the answer would still play a major part. It has been seen before in comics being used to take out an armed man before he knew what hit him.
captain America
Captain America, obviously. He would beat Deathstroke up.
Captain America. It would be a close fight because Santa has an army of Elves, but then Captain America would throw his shield at Santa's neck, killing him. Or, Captain America would be too afraid to fight Santa and give up, not wanting to kill an icon for many Americans.
Captain America
captain america
abomination, because he is strong as hulk.
This is unknown as Captain America has not yet fought his final battle.
I would have to say Khan, he looks smarter than Captain America.
Green Lantern because he only needs a ring and he can create any object desired.
Wolverine would win because he has no problem killing but Captain America doesn't kill. Plus, Wolverine has a better healing factor than Cap. Even though Captain America's vibranium shield can't be sliced by Wolverine's adamantium claws, Wolverine is fast and could catch Cap off guard and quickly decapitate his head and Wolverine wins. Also, Captain will eventually get tired of fighting but Wolverine could keep going and killed Captain America and still win. So either way, Wolverine will win.
captain America is smarter and faster -Captain America is not smart enough to defeat The Hulk. It takes much more than one single person to defeat The Hulk. Especially considering that Captain America is only an enhanced human being not a Super Powered human being. He can only lift 800lbs max where as The Hulk's base strength is 100 tons. The Hulk would crush Cap.
Ksy, first, Nightcrawler would sneak up behind Cyclops and steal his visor. Cyclops wouldn't open his eyes, in case there was a innocent bystander. During that time, Nightcrawler would knock him out with a cast-iron pan. THE END!