If you're looking for anime similar to Nekojiru Shokudou, you might like these titles.
What's Michael? Michael is a cat. A cat that is inexplicably attracted to the smell of raw fish, yet horribly repulsed by the smell of toothpaste. A cat that, in a dogfight with a fly, will strafe his master in her sleep. In short, Michael is a cat like any other cat.
The whole world is in love with character illustrations of cats, dogs, and bears. A brand-new show, and the first of its kind in Japan, featuring nothing but cat characters for cat lovers started airing in February 2014. A variety of cat characters designed by Japan's topnotch creators and illustrators are animated and they are voiced by popular KAWAII (cute) anime voice actors.