Mostly are from the 80s. I only included the animes I have watched from these years. I'm not including Sequels from anime that started on previous years. I am including Sequels where it makes sense to keep watching, in order to complete the story.
From both in local TV and cable TV:
A Little Princess Sara
A Little Snow Fairy Sugar
Ah! My Goddess
Ai to Yuuki no Pig Girl Tonde Buurin (Super Pig)
Akazukin Chacha (Red Riding Hood Chacha)