British English has many ways to answer praise without accepting it.
Team effort: I did much of it, but I will not say so.
I can’t take the credit: I am pleased, but I will share it.
Beginner’s luck: It went well, and I will not claim skill.
Oh, this old thing?: The answer to a compliment on clothes, even new ones.
It’s not rocket science: Said about one’s own work, to make it sound easy.
Stop it, you’re embarrassing me: Thank you, but please do not go on.