The very first page in the aforementioned Agent of Asgard comic book arc revealed a startling fact - Loki likes to sing the songs from the musical "Wicked". Accompanying text showing his inner monologue explained:
Ah, Midgard songs. Once I despised these bittersweet little snatches of hope and loss. So short and petty like their lives. So far from the roaring horns and soaring strings of home.
Specifically, Loki was putting his own spin on the song "The Wizard And I", replacing certain words to make them fit with his life. It was a humorous revelation and also one that immediately set the tone that this Loki wasn't going to be as sinister as previous incarnations.