Neon Genesis Evangelion, Shinkansen Henkei Robo Shinkalion The Animation Recommendations
Its quite easy to see where Shinkalion got its inspiration from, just look at the names "Shinkalion" and "Evangelion".
In both you will find a story where children with high compatibility are put into giant mecha's by a certain organisation (that the protagonists father is apart of) to combat against mysterious apposing forces.
The only major difference is that Shinkalion uses Evangelion's story formula for a children's show. So you will find that its more about the bonds of family and friendship, unlike Evangelion particularly dark story.
So if you'd like to see Evangelion's basic story formula used for a children's show, I recommend that you