I may have mentioned somewhere that I considered the second season better than the first
If sad moments aren't your thing, I recommend staying away from Clannad, Clannad ~After Story~, Kanon, Air, Angel Beats! - hell, anything with KEY's name attached to it.
On the other hand,
I totally recommend watching them
Also, another series which isn't everyone's cup of tea, but moved me quite a bit, was the Aria franchise. It's an easy-going slice-of-life type anime that doesn't really go anywhere; it's simply one girl's exploration of a copy of Venice where she's training to become an Undine. It's her experiences along the way that made this series for me - soundtrack is also epic.
If you do get the urge to check it out, start off with Aria the Animation, followed by Aria the Natural, followed by Aria the Origination. Those are the 3 seasons - there's an OVA that hopped in between the 2nd and 3rd seasons as well.