Sakura-sou.
... Wow, there is a lot of people failing to achieve their dreams in this anime, but that's actually what makes it interesting. Failure, even repeated failure, isn't something I often see addressed, but here it's handled in a way that still makes the characters likable. It also still manages to be entertaining and happy despite all the dream-smashing in it. Great stuff so far.
... If you have a Chrono Trigger, I want one too.
I watched most of Sakurasou, but I dropped it 18 episodes in for two reasons. The first is that I thought the character interactions were kind of stupid. I also got bored of it, possibly because of that. Then again, I'm still watching Valvrave, possibly the stupidest show ever, because it's still entertaining.
I do like this song from Sakurasou, which was released as a character song before the show came out:
http://soundcloud.com/aiasubs/anata-ga-tsunaide-mashiroAs for having time to watch all those shows... Leviatan, Chibi Devi! (which doesn't even come out every week), Sparrow's Hotel, Muromi-San, Aiura, and Miyakawa-ke no Kuufuku all add up to about the same length as 2 normal shows together, so it's more like watching 16 full length shows.
Even 16 shows sounds like a lot, but it's "only" about 6 and a half hours of watching a week. It's not quite as ridiculous as it may sound.