Yeah, it depends on who you ask. In western countries it wouldn't be considered anime, since we tend to define that word as animated shows originating in Japan, but in Japan anything that is animated, even if it's 3D CGI type stuff, is considered anime. Or at least that what I hear.
I honestly enjoyed the first 2 episode of SAO, but that's it. Everything's pretty much gone downhill after that. I was expecting more action not harem. The other downside of SAO is the sheer number of 12 year olds using Kirito as username. I saw 9 Kirito while playing an MMO once.
I have come to the conclusion that the Tamriel Vault community has shittastes in anime. Seriously the only names mentioned that didn't go uber mainstream were mentioned by Mitch and that's probably because they're recent series. A POX UPON YOU ALL FOR NOT MENTIONING series like: Aldnoah.Zero, Yahari Ore No Seishun, Kokoro Connect, Parasyte, School Days, Corpse Party, Chuunibyou, Valkyria Chronicles, Akagami No Shirayuki-hime, Arslan no Senki, Noragami, Sakurasou, Boku Wa Tomodachi, OVERLORD (ffs can't believe Elder Scrolls people didn't watch this one) and those are just the ones that first pop into my head. All 10s and much better then the mainstream garbage that get's dubbed in Toonami and Funimation .___. /endrant
Edit: I forgot to mention GATE (which a friggin fantasy masterpiece) and Shinsekai Yori (which is a modern classic which not watching should be punishable by death)
Well maybe that's because I was yet to comment
Of those you listed I've watched Aldnoah.Zero, Oregairu, Parasyte, Valkyria Chronicles (also played that one), Akagami No Shirayuki-hime (can't wait til January for the next season), Noragami (currently waiting for episode 5 of the second season), Sakurasou, Boku Wa Tomodachi and Overlord.
As well as countless others since I have way too much time on my hands.