Viki just announced on Twitter that they will stop streaming Black Jack next month. They were also streaming it on YouTube as part of their TezukaAnime channel.
That means Anime Sols will be the only one that might still be streaming the entire series, but only if the current set being crowdfunded reaches its $18,000 goal. If it doesn't, new episodes will stop being uploaded and the site will only have ~40 episodes, and probably won't keep them for too long.