According to the official website, the airing date of the last three episodes
(eps. 14-16) of "Ore no Imouto ga Konnani Kawaii Wake ga Nai.
" has been set to August 18th. Viewing method (including international audiences) can be found on the website at this link: http://www.oreimo-anime.com/stream/
The original light novel concludes with volume 12 which was released on June 7th.
Source: OreImo anime official website