Brothers of Metal fits this bill.
The band started off as a joke, but they quickly realized their vocalist is incredible; so they turned it into a proper power-metal band, but with lots of clichés and puns.
They have some straight-up pop-power-metal songs like
"Chainbreaker"
But then that same album has a slow song like
"Weaver of Fate"
And that same album has a power song like
"To the Skies and Beyond"
And all of them retain that quasi-parody vibe the entire time.
Their
first album is equally excellent/corny.