There's a small house cat in Code Geass.
If you watch the recent
Cat MEP then you can see several cats, and the info is included with the amv, of course. Most are small cats, however.
Other small cats are in Fruits Basket, Black Cat, and Inuyasha. In Inuyasha, Kirara is a "Cat" but has two tails. She gets bigger when she transforms, however.
The only big cat I can think of is in Utawarerumono. There is a cat-like animal that is quite often in the series.
You can see if it's something you're looking for by watching the
opening.Meowth and Persian (Meowth's evolved form, which is bigger) are two cats in the Pokemon series. Persian looks like a mountain lion. Just by going to bulbapedia, I believe, you can find episodes in which they are in.
Same goes for Luxray. Another pokemon that looks like a cat (probably not what you're looking for.)