New Powers as the Plot Demands/Quotes

Katara: (On her recently revealed Healing Hands) I guess... I always knew.

Sokka: Oh? Well, then thanks for all the first aid over the years.

—Avatar the Last Airbender

"Well, that's bullshit! First, Hitomi's Seeing, and now my healing? What are you gonna steal next, Allen's sex appeal?"

—Milerna, Vision of Escaflowne Abridged

If you could have any super power, what would it be?

"The 'my power beats your power' power."

—Johnny Yong Bosch on a Voice Actor question card.

Cartman: Hold on you guys, I actually have another power: I can see into the future too, but better than Kyle. Let me try it.
Kyle: God dammit, Cartman, you can't keep making up new powers!
Stan: Yeah dude, that's like the fifth power you've come up with!
Cartman: I am Bulrog, and I have lots and lots of powers.
Kyle: No, asshole! From now on you only get to have one power, so what is it?!
Cartman: I have the power to have all the powers I want.
Kyle: That doesn't count, fatass!
Stan: Yeah! That it, Cartman! You don't get to have any powers!

Cartman: C'mon!

—South Park, "Good Times With Weapons"

Sailor Moon: Tiara! Use your lesbian trapper!
(Sailor Moon's tiara becomes larger and binds the Monster of the Week)
Luna: How the f*ck did you do that?

Sailor Moon: Hell if I know! This show makes no sense!

—Sailor Moon Abridged

“No stop Marrissa you cannt kill me im yur mother!” I stopped an thot she was lyin but then I used my detective power an new it was true.

—Its My Life

Amy: You can drive a motorbike?

Rory: I expect so. It's been that kind of day.

—Doctor Who, "Let's Kill Hitler"

It's not she is super powerful, there are other powerful characters like Superman, the thing is her powers are limitless and she keeps getting new ones.
It also really fucks up the lore because now we don't know what a Kryptonian can and can't do. Maybe Superman can also turn invisible? Or maybe each Kryptonian has a specific set of powers?
Don't know, don't care. I just feel bad for those who do so.

— Nerf NOW!!, in The Rant on "The Bestest Jedi"