Here are some Badge ideas and requirements I thought up like...2 minutes ago:
Summon a minion 50 times: I need backup! Summon a minion 100 times: Reliable partner Summon a minion 200 times: Puppet master Sacrifice your minion for health or pips: Betrayer Cast myths minotaur 50 times: Mess with the bull... Cast myths minotaur 100 times: Giving you the horns
Cast earthquake 200 times: Earth cracker
Shield or blade your minion 100 times: Great supporter Shield or blade your minion 200 times: Partners to the end
Um... good, but some of these may be a little too pop culture. That, and badges are focused on defeating or doing certain things, not so much as how you do them.
Most badges are earned by how many times you do that something. Maybe names are a bit over/under board, but a perfect way to state "thought's become reality". I think it's an excellent idea. Think some more young Einstein.
Spiral Explorer: Do all of Zeke's quests Master Polymorpher: Collect and use all moon spells Super-Secret Shopper: Enter the Krokotopia Secret Shop 25 times Astral Hunter: Defeat 50 astral enemies Astral Murderer: Defeat 100 astral enemies Astral Ruler: Defeat Astraeus, Ptolemos, and Mithraya Astral King/Queen: Defeat 500 astral enemies and the 3 astral bosses.