So I rewatched episode 1 of Eureka Seven to see how close it mirrored up to Captain Earth and it's pretty damn close.
The speech with Daichi's counselor is pretty identical to the speech Renton got from his counselor. In both scenarios, Daichi's and Renton's father is viewed as a hero/celebrity and their guardians both flat out reject their ward following in the path of their father. You then later have this scene:
There is a sense of isolation from both and a discontent from both main characters about their futures. They both have their hobbies, that they're good at, but nobody takes them seriously and just view as them goofing around. There is also the usual boy meets alien girl that is (probably) the main romantic interest
This is much more common so I doubt it's a throwback to Eureka Seven and more of a general mecha trope, although Daichi's jacket when he was a kid is very similar to Renton's.
