In the meantime, I have finished 2 more anime. And most of you know which ones I'm talking about: To aru Majutsu no Index and To Aru Kagaku no Railgun.
First off, Index. I really enjoyed watching it but I can't deny some flaws it has, roaming from connections in story and some of the characters not having enough introduction. I'm trying to keep it as spoiler free as possible, but I can't guarantee. The anime is split up in different arcs. The problem I think it has here is that they move on to a new arc with the old one being partly finished but leaving some open questions. Probably this is better worked out in the manga or eventually a third season (I'm expecting it to happen due to an open end). Second point, the characters not having enough introduction. There is this guy who tells you he is part of something, boom episode ends. All fine and everything but I didn't know enough about the person in case to actually care. Aside from those two points, I can rank this as a pretty solid anime worth watching.
Second, Railgun. At first I had a kind of mixed opinion after watching the openings. Mechs, ''aliens'' (that was what I imagined, but was false fortunately), those just don't have any interest to me. Fortunately I was wrong on both of those cases. Railgun turned out far better then I could have ever expected. I also consider it better than the original, despite it not having Last Order. The arcs were far better connected, resulting into a more fluently and overall more interesting story. The characters were also far more loveable, though still having slightly less but still present issue of not enough introduction. And the ending was absolutely fenominal. It doesn't really matter which of the anime you watch first, though you might miss some references if you watch Railgun S (second season of railgun) first. But I would definitely recommend this anime.
http://youtu.be/6IZPZ4kWQP8