You might be looking for "slice of life" genre.
Some keywords while lurking on /a/:
-comfy
-healing
Yuru Yuri is popular, but also try
-Gochiusa / Gochuumon wa Usagi Desu Ka? [sequel now airing!]
-Kiniro Mosaic
-Non Non Biyori
-Aiura
Some light comedies, not necessarily moe:
-Working [a.k.a. Wagnaria]
-Gekkan Shoujo Nozaki-kun
-Hibike! Euphonium [aka Sound! Euphonium]
And note for all of these and any anime title, go to the MyAnimeList page for it, and click on the Recommendations tab. E.g.:
http://myanimelist.net/anime/21273/Gochuumon_wa_Usagi_Desu_ka/userrecsYou may not like all the suggestions, but they'll give you some ideas.
