What would be example powers for Knowledge, Life, Esoterica and Systems?
Knowledge is all about well... knowledge
Mr. Thompson has something along the lines of Business Acumen, which allowed himself to set up and expand a business to great lengths. He isn't stronger, or faster, he's not even smarter anywhere else he's just really good at running the I.S.U., it's why it expanded so quickly.
So a topic of knowledge like Mr. Thompson to incredible levels is appropriate. They Could make you a famous Inventor like the man who helped set up The VRMMO, as he specialized in a relevant field for it.
So a skill to the Supreme. Or, it can give you more knowledge.
X-Ray Vision, Precognition, Prescience, and anything else that relates to knowledge. If it's about acquiring it or possessing it, a Blue cape could be based on it.
Life, can be anything about life. You could shift into a dragonfly, command Humans in a myriad of ways, or Alter biology make Monstrous Creatures, and deadly plagues.
Systems, are think of it in gamer terms, that's probably the most appropriate. They're more narrow than an individual system in a litrpg however.
The Entitled gains titles, which give him powers, these titles are given to him when he is referred to as something, or he does an act enough times. He killed enough people so he gained the title Serial Killer, Murderer, and the like which enhanced him into becoming even better at killing others.
A Hypothetical Arrow system could be imbueing Arrows with objects and making those Arrows stronger, with some risk attached like a chance of a noncohesive arrow becoming a junk arrow.
Someone else could gain access to a world and the more people that share and enjoy that world the more they can expand Said world.
Yet another could gain a class, and so long as they continue acting within the class' provided role they could become stronger in it.
Another could gain a dungeon core, and make a dungeon empowered by those that visited it.
Esoterica is everything that doesn't belong anywhere else. It's too broad to say more. In a way this makes Esoterica more... conceptual.
But, a man who had powers over telephones doesn't fit anywhere else. So he travels over telephone lines manipulates telephones, calls pizza to be delivered to where he is.
Another could be emulating Sherlock Holmes, gaining the powers of the great detective, yet weak to the same things.
Another could be truly immortal, nothing could kill them.
Edit: Actual Name. You don't know your power, so making your cape name would be nonsensical rn.