Ah, the avatar is from Lum : The Invader Girl. (Or Urusei Yatsura in Japanese) (Many ask about it xD)
Do you know Rumiko Takahashi?
My favourite artist of all time.
The story is a very heartwarming comedy
with characters that I feel are very much "Living"
compared to mangas nowaday.
The first few chapter is not very well made,
but as chapter goes, it just gets better and better! (Artwork too)
Hope you have the patience if you plan to read it