Several Anime Songs

Ages and ages ago, a friend burned me a disc with some anime songs on it. Unfortunately, it did not include the names of the songs! So, I recently dug this CD up, and was curious about them.
I've been able to find out about half of them via animelyrics.com, and so far all have been songs from Inu Yasha, if that helps.
They can be listened to here:
Songs Page

The first song is the Azumanga Daioh Opening theme

YouTube - Azumanga Daioh Opening theme