Availability: This challenge unlocks after you, anywhere in the game, run and go seamlessly into a glide from a rooftop.
Completion requirements 3 stars: You need to score 16000, at least. The key to success here is to win the entire fight without having the score multiplier reset. Therefore, you need to land successive blows without any interruption and, additionally, make sure that you are not hit by any of the opponents.
Availability: This challenge becomes available after you use the ground takedown on an opponent. Additionally, you need to make sufficient progress into the storyline.
Completion requirements 3 stars: You need to score, at least 16000. To score that high, you need to ensure appropriate diversity of you attacks so, apart from the regular attacks, also rely on gadgets, press the key combinations for quick launching and use supercombos (pressing two key simultaneously, after the score multiplier goes sufficiently high)
Azrael: Azrael's Atonement
Availability: You need to complete the Heir to the Cowl side mission, which is connected with Azrael and the combat trials that you complete for him. This challenge becomes available regardless of how that mission ended.
Completion requirements 3 stars: You need to score, at least 30000. During This challenge, Azrael may take no damage or you will fail. However, This is not too much of an obstacle, because you need to keep bringing up the score multiplier anyways, in order to obtain enough points.
Batman & Nightwing: Gotham Knights
Availability: This challenge becomes available after you quick launch three different gadgets within one fight. Additionally, you need to make sufficient progress into the storyline (meet up with Nightwing).
Completion requirements 3 stars: You need to score, at least 20000Just like in the case of the abovementioned challenges, make sure that the score multiplier does not reset, as a result of taking damage or interrupting the streak of attacks. Apart from that, use team attacks on a regular basis.