I didnt know if you wanted freeform tai counters, actual taijutsu counters, or ninjutsu counters so I added them all. Also while lurking, I was reading a Lilli fight. Her and her opponent were in CQC range of each other. She performed a taijutsu move and her opponent countered with Nagashi. She then argued that at that range, the Taijutsu move should get off before Nagashi. Is this true? Also is the damage of a taijutsu move with multiple parts split evenly into those parts like projectile ninjutsu?
Stage 1: Leg Sweep
A leg sweep requires momentum to be used so it is usually preceded my a full body spin. If this is used to deduct a sweep kick then I can prepare to jump, use the basic fuuton jutsu to expel air through my feet and push me into the air, stick my sword into the ground so that they either stop their attack or drive their leg into my blade, and the spinning motion should take more time than the initial attack of Leaf Rising Wind which kicks the user into the air.
Step 2: Kick into the Air
At this I would have now lost balance. I could blow air through my mouth with the basic fuuton to push my upper body backwards thus dodging the kick into the air. This works because the sweeping kick would have disconnected me from the ground and make by body more prone to the effects of forces being applied to it. A rolling parry could also suffice. If I brought my arms together on my chest and shift my weight to roll my body away, i could either fully parry the kick or the kick would hit my shoulder and contribute to my spinning momentum. I don't believe any of my known actual taijutsu can be used in this stage.
Step 3: Heel Drop
Once in the air, I shift my position to one that is more favorable and catch the opponents foot against my chest, my arms are pressing their leg against my chest. Then I could grab the other leg and shift my opponent and I's position so that his head is facing downward and I can perform Peregrine Falcon Drop. In addition to that, a fuuton can be used to blow me out of range.