First I will say, I enjoyed both, however This one is the better anime for a few reasons.
More thought and effort was put into this one then Shokudou. Shokudou doesn't bother to try and explain or have anything resembling a plot or story line. It is just new episode = new character and new dish. The previously introduced characters (except the waitresses) become nothing but background fodder to make the restaurant seem busy, making only occasional cameos to support new characters. In my opinion, while enjoyable, the writing was lazy, focusing on a large amount of characters with no regard to story telling. The plot is nonexistent
Izakaya explains why the 2 started the restaurant, why their door connects to another world, the characters are more the just one shots, and there is an actual story - restaurant endears itself to regular customers, corrupt noble tries to take restaurant, customers low-key save the day. In terms of actual story telling, this is the better of the 2.
