Eh, upon looking at it, I was like, "Keroro Gunsou?" but then I was like, "Wait, Keroro would have had to lost his hat and some other frog picked it up or something...this has to be in a reference anime..."
So then I was thinking Lucky Star for a bit, but the hint from >>9541566
made me decide that it is...in fact...
HAYATE NO GOTOKU!!!!