嘿 guys!
I have personally translated the lyrics to Shinjidai Tsukuriiyo and from Japanese to English and have put them on the Inazuma Eleven FANDOM Wikia. I'm going to leave them here, too.

次から次に
Tsugi kara tsugi ni
From the 下一个 to the next

世界は変わってく
Sekai wa kawatteku
The world is changing

誰も見たことない新技が
Daremo mitakotonai shin-wazaga
There's a new technique that nobody's seen before

またどこかで生まれてる！
Mata doko kade umareteru!
Yet where is it being born?



狭い視界じゃ広い世界の全部は見れたせない
Semai shikai-ja hiroi sekai no zenbu wa miretasenai
We can't see the whole of the vast world from our narrow point of vision

知らないことや新しい事にチャレンジしたい！
Shiranai koto ya atarashii koto ni charenji (challenge) shitai!
Things I don't undertand, I want them to be a new challenge!

好奇心のアンテナ！重心中のデータ！
Koukishin no antena (antenna)! Juushinchuu no deeta (data)!
Curiosity of an antenna! Vital data!

何が出来るのかな？お楽しみ！
Nani ga dekiru no kana? O-tanoshimi!
What will it come to? Fun!



集まって、何作る？
Atsumatte, nani tsukuru?
Let's gather, where do we come to?

想像するでけでワクワク！ドキドキ！
Souzou suru dake de wakuwaku! Dokidoki!
Let things from your imagination go crazy! Heart-thumping!

世界中あっと驚く時代作ろうよ！
Sekaijuu atto odoroku jidai tsukurou yo!
A surprising era comes to the world!

楽しみだ！もうすぐだ！
Tanoshimi da! Mousugu da!
It's fun! It's nearly time!

ニュースタイルで夢キラキラ！ピカピカ！
Nyuusutairu (new style) de yume kirakira! Pikapika!
The new style from our dreams is sparkling! Shining!

新時代！皆でつくリーヨ！
Shinjidai! Min'na de tsukuriiyo!
A new era! Everyone come!


来たきたきたきたきたきた
Kita etc.
Come/go/came etc.

きたきたきたきたきたきた
きたきたきたきたきたきた
きた！きた！きたきたきたきた！

作るくるくるくるくるくる
Tsukuru kuru etc. Come etc.
つくるくるくるくるくるくる
つくるくるくる！

「新しい」がくる！
"Atarashii" ga kuru!
The "new" comes!