While one is a family of ninjas and the other is a family of magicians, the two series did still share a common trait which is a team of superheroes that shared familial bonds with each other who fights enemies who were born from the darkness as they try to cope with their every day lives. Not to mention there's a Magiyellow cameo as well as a sort of Magiranger parody in this. So if you like Ninninger or Magiranger when you watched it, you should be able to enjoy the other series as well.
Both 10 years apart
Both have family rangers
Both have a dad ranger
Both feature a magic ranger
Yellow Magiranger guest stars in a episode
It's the 28th sequel of the series from Super Sentai right after Tokusou Sentai Dekaranger which is the 27th sequel. If you would like to watch the super sentai series chronologically.
It's the 29th sequel of the series from Super Sentai right after Mahou Sentai Magiranger which is the 28th sequel. If you would like to watch the super sentai series chronologically.
Both are a Sentai team that uses elemental/magic power. There's another world that provide their powers (Magitopia/Gosei World). The Goseiger team isn't made by a family of heroes like Magiranger, but two of them are siblings. The two of them also have non-human sixth rangers (although MagiShine has a human form).
Both are Magic themed series
Both owned by Toei
Both fight mythical monsters and beings
A "red fire" wizard protagonist
Both are fighting a dark ancient evil
Both have family rangers
Mother absent
Feature a "red dragon" villain
Both incorporate a fantasy theme
Both star Machiko Soga as a witch
Both have other world settings
Both feature characters and monsters from mythology
It's the very first Super Sentai series what made many of it's successors possible. If you want to watch the original first season of the Super Sentai series.