So, right off the bat, I throw money at this since I happen to actually like the previous games. Some exceptions apply to this statement. I can safely say that $60 is a tad too high for the level of quality they threw at this one.
As the game starts off, it's once again Kirito being the mary sue of the series, only to find out that his daughter Yui is quickly kidnapped by a purple villianess after she sicks the hero of Accel at you: Black Lotus. You fight, you compliment one another, you team up. Life's wonderful.
You are introduced to some new mechanics. And by new, I mean kinda old. This game is literally Lost Song 2.0, so if you are familiar with that game, you'll slip right in here with no issues.
So the game introduces the Accel World powers: You blink/dash to your target, and jump really high. The trade off is all but one can't fly. Or use a plethora of support magic. But they hit really hard. They do this by specializing in elemental damage that you can enhance, but all the AW character's augmentations raise one stat, and drop another. 90% of the time it's your DPS. Joy.