This 1982 series is based on the (apparantly autobiographical) manga by Muroyama Mayumi, in which under achieving Asari is stuck in an eternal battle of wits with her “ideal” big sister Tatami. It ran for 54 episodes, had a spin-off short film and, I believe, the manga is still going strong (80+ volumes).
And that's about all I've got. There is very little information in English on this title. The only other tidbit I can give you is Muroyama Mayumi also created the penguin “Mister Pen-Pen” which was homaged in Neon Genesis Evangelion with another penguin of the same name.