So I know that I read this webcomic about two years ago. The two main characters are two anthropomorphic cats. I don't think they're directly related, or romantically attached. There are a lot of videogame references, including that the mansion they're living in has a spirit of death who likes to play video-games (only one of the two cats can see him) who is occasionally held at bay by R.O.B. the Robot with a Zapper in his hands. At least one of the cats was something like a Siamese or one of the Egyptian breeds with a small head and comparatively large ears. I think they were an orange color.
I think that it's within the last few years that the webcomic was released, although most of the references were to old NES games.
It is not VG Cats, Housepets!, or theGaMERCat just to rule out a few that I ran into while browsing around. The cats are full anthro, standing upright and using hands. I don't remember if humans exist at all, but I'm pretty sure that there were other upright animals. I want to say that one of them renamed the house (which they'd inherited) as "Hyrule Mansion" or something similar.