I think it'd be a great idea to be able search for avis by name, favorite them to find ones we like easily and even have an option to equip a random favorite avi! A lot of us have over 700 avis now, and trying to find certain ones is getting a real hassle. And for indecisive people like me, being able to randomise my avi would be a fun way to change it often and use the avis I worked so hard to get!
iPhone users have this ability and I believe it is being worked on being implemented to Android devices.