Phone with great battery life and won't kill my budget?

Battery Life:

Both are about the same; tie.

Games:

Sony Live wins this one because it's running android which has over 600,000 apps and counting.

Music:

Sony Live definitely wins this round. Not only is it running android which lets you download different equalizers, but it has expandable storage, perfect for your large music collection. Additionally, the fact that the phone is a walkman is a big plus.

If its games you are looking for I think the Sony life might be the phone for you. The Sony Live with Walkman runs Android which has access to the Android store which as a variety of games available. They are both good at playing music as well.