Sister thread to username one cuz why not? Since avs are usually changed more by people than usernames, just talk about your current one or your last few. Talk about however many you want, all that limits you is how much you think people will actually read your wall and of course the character limit. Many people have a common theme with their avs or can even keep the same one forever.
For me, Fiora is best character (which is a pretty good reason for an av to begin with and is why many choose what they do), and she's basically everything I wish I was and everything I aspire to be. Using her as my av makes me more comfortable and acts as an extension of myself as avatars should be, or rather what I dream I was. It's really deep shit I have a hard time putting into words. It sounds hella cheesy and stupid when I try to explain it, but it makes sense in my head. Ask questions if you'd like.