#1 sounds really pretty but I don't think I've ever heard it before
#2 sounds familiar but I can't quite place my finger on what it is...
#3 is Catch You Catch Me from Card Captor Sakura
#4 is Toki o Kizamu Uta from CLANNAD ~After Story~
For #5, I got:
0:00 Soramimi Cake from Azumanga Daioh
0:03 no idea
0:09 Hayate no Gotoku! from Hayate no Gotoku!
0:13 no idea
0:21 Bouken Desho Desho? from Suzumiya Haruhi no Yuutsu
0:27 no idea
0:32 no idea, but it sounds familiar
0:43 no idea, but it sounds epic
0:50 Hitotoshite Jiku ga Bureteiru from Sayonara Zetsubou Sensei
0:57 no idea
1:02 19-sai from xxxHOLiC
1:06 no idea, but it sounds great
1:12 no idea
1:17 no idea
1:21 no idea
1:27 no idea
1:34 no idea
1:40 no idea
1:47 no idea
1:50 no idea
1:58 Forever from Elemental Gelade
2:03 no idea
2:10 no idea
2:15 no idea
2:21 no idea
2:27 Tsuki no Curse from Loveless
2:34 no idea
2:40 no idea
2:46 Kokoro no Tamago from Shugo Chara!
2:54 no idea
3:00 no idea
3:05 no idea
3:12 Stray from Wolf's Rain
3:18 definitely Ali Project
3:25 I KNOW THIS BUT I CANNOT REMEMBER WHAT IT IS ARGH
3:30 no idea
3:36 Pre-Parade from Toradora!
3:43 no idea
3:48 Futatsu no Kodou to Akai Tsumi from Vampire Knight
3:55 no idea
4:00 no idea
4:05 Inner Universe from Ghost in the Shell
4:11 no idea
4:17 no idea
4:24 no idea
4:30 no idea
4:35 Tabi no Tochuu from Spice and Wolf
4:42 no idea
4:48 Sakasama no Chou from Jigoku Shoujo
4:54 Zankoku na Tenshi no Thesis from Evangelion
5:01 mind as Judgment from CANAAN
5:06 no idea
5:13 no idea
5:18 Sketch Switch from Hidamari Sketch
5:25 no idea
5:30 no idea
5:37 no idea
5:43 no idea
5:49 no idea
5:54 no idea
6:00 no idea
6:05 no idea
6:11 no idea
6:17 Tori no Uta from AIR
6:23 no idea
6:28 Shangri-la from Soukyuu no Fafner
6:34 no idea
6:41 Doraemon no Uta from Doraemon
6:46 no idea
6:52 no idea
6:58 no idea
7:03 no idea
7:08 no idea
7:13 no idea
7:19 another song that frustrates me because I know I've heard it before but the name escapes me. I'm leaning towards Negima...
7:26 no idea
7:32 no idea
7:38 no idea
7:44 For Fruits Basket from Fruits Basket
7:51 no idea
7:55 Colors from Code Geass: Lelouch of the Rebellion
8:02 no idea
8:08 no idea, but it sounds vaguely familiar
8:12 no idea
8:18 no idea
8:23 no idea
8:30 no idea
8:36 no idea
8:43 no idea
8:51 no idea
8:57 no idea
9:04 no idea
9:08 no idea
9:12 no idea
9:20 no idea
9:27 no idea
9:33 no idea
9:39 no idea
9:44 no idea
9:50 no idea
Wow, I fail.