Christopher's soot power: "Trust me bro"
I'm surprised Anthony survived through something closer to sheer luck with "Christopher" letting him flee rather than a premeditated plan of survival with him in charge. Now we know fully how he views the big picture. It's a full blown "noble succession crisis" style power struggle in his mind between him and Kate, but we have yet to know if Kate is even interested in being the true heir and head of the Mirrors House: all we know is that she's striving for peaceful coexistence between humans and shadows after the nefarious Shadows House has fallen from power.
Anthony likes to call Joseph "uncle" but the human Joseph is technically his grandfather. Right, as someone pointed out it's likely a translation error due to the similarity between oji-san (uncle/older man) and ojii-san (grandpa)
On a side note, not only is Anthony a megalomaniacal psychopath, but he's also a creep who's (technically) peeping while eavesdropping on his sister's private matters...