First, she learns physical skills incredibly fast. Whether this is a consequence of her other powers or something distinct isn't clear, but her trainer thought she was on performance-enhancing drugs due to how fast she learned. Some of her physical skills are possible in the real world—for a person who has been training since they were a child. She picked them up in less than a year.
She has incredible reflexes, although they are limited by her strength being that of a normal athletic human. She was able to catch her phone with the toe of her high-heeled shoe. It took her a bit of time to master those reflexes, but I assume she could eventually do it reliably. In connection, she must have incredibly precise proprioception. Catching a falling object on a flat surface that small is almost impossible. Catching it on the curved surface of a shoe requires extreme precision.
She's not exactly as brittle as a normal human, either. She jumped at least 50 feet out of a building and landed on her feet, with no apparent injuries. Even accepting that her reflexes enable the landing part, the fact that she was unharmed suggests durability somewhat beyond the usual.
While it's not entirely clear if this constitutes a power, she was able to cause some quite severe injuries with only her nails, which seemed possibly beyond what an average human can do, and possibly attributable to somewhat enhanced strength or her nails being somewhat harder or sharper than the human norm (not as disconnected as it might seem, if we consider her alias; see below).
Finally, she can see with almost no light. Night looks like day to her. This, obviously, is something the average person cannot do, no matter how many carrots they eat.
This is why her comics alias, barely mentioned on the show, is Hellcat: she's got excellent reflexes, can see in the dark, and always lands on her feet.
These powers may not seem like much compared to Jessica's ability to lift a car, or the destructive capabilities, speed, or invulnerability of someone like Captain Marvel or Thor, but they'd still let her get the better of almost any normal human being or small group thereof in a close-up fight without any trouble.