Dungeon ni Deai wo Motomeru no wa Machigatteiru Darou ka II

Video game elements with a strong male lead and a mostly female support cast set in a magical world with underaged heroes leading the way and atypical amenities like guilds and adventure parties. 

If you're okay with seeing some big boob (no nipples), and you enjoyed SAO past the first half of the episode this show would be great for you! The main character, Bell is determined and never loses himself in thought. He starts off in a very small familia.  

Goody two shoes boy wants to save a girl whose power are being used to for "evil" deeds. The girl doesn't want to be saved. 

Both move in a similar world with regard to game mechanics, both have stunning visuals, both have a lot of personal drama of which I won't discuss here since I would be spoiling you, and as a counterpart the light-hearted moments are hilarious. You should really check this out, I also recommend the first season of Danmachi if you're not familiar with the series, no spoiler, but it has probably the best fighting scene in anime, and that's not just because of the visuals but because of the buid-up and the climax of the story.  

Both involve clueless (as in how powerful they truly are) lead characters. Princesses remind me of Deities.