Fighting Dmitri was hilarious when you spam him with the Student Witch soul. "HAHAHA MREEEEOOOW HAHAHAHA REEEEEEEOOO"
That being said, I'd say the first two DS games kind of gave that feeling which OP describes. The scene where you beat Death in PoR... I felt almost as offended as Death probably would have. He was probably suicidal for a bit, being spanked by a walking pair of anime tropes.
And I really wish the stupid cult mentioned in the Sorrow games would have had an actual presence and threat. Less Saturday morning cartoon villain, more Reverend Kane from Poltergeist 2.