Mikasa and Levi are both known as experts in the Titan world. Mikasa was established as the best Titan slayer from the beginning and Levi quickly tried to steal this title when he appeared. “Tried” is the key term and I still acknowledge Mikasa as the better fighter. She has easily taken out multiple titans in the past without breaking stride. Levi definitely talks more, but that’s really his only edge. His arrogance would lead to his downfall. Mikasa wins.
Update! Well, the anime was a littler exaggerated with Levi’s speed during his battle against the Female Titan if you ask me, but it is what it is. Whether it was exaggerated or not, the speed feats happened so he would have to win this battle. Mikasa now sinks to 0-2…Levi wins.