If you're looking for anime similar to Sumikko Gurashi: Koko ga Ochitsuku n desu, you might like these titles.
Rilakkuma suddenly appears in the apartment of office worker Kaoru and begins living there, spending every day idling around. He has a zipper on his back, but the contents remain unknown. He likes food like pancakes, omelette rice, pudding, and dango. He lives together with the little white cub Korilakkuma and Kaoru's pet Kiiroitori ("yellow bird").
A young girl finds a stuffed rabbit on the street. After her mother helps repair it, the rabbit stays with the girl as she ages, though the relationship between her and her mother changes in time.