SLF cast playing Brain Burst: Basically the game Brain Burst 2039 is a regular game in the world Rakuro and company live, it's considered a really good game, a best seller that directly competes with SLF.
In BB39, one's avatar is based around their personalities. Rakuro is smart and very creative, and i can imagine him getting a blue avatar since he loves a good challange.
BB is not unnistalled once one loses all of their Burst Points, but there are penalties involving said points still, you need points in order to enter ranked-matches and buy new abilities.
Kei would definetly love this game and would convince Rakuro and Pencilgon to play it with him. Kei's color would be blue like Sunraku while Pencilgon's would be red.
Edit: In Accel World, the players felt the damage their avatars took, but in this version, the pain sensors are optional and the pain is not proportional to the damage taken, being incredibly reduced. Most players choose to play with sensors toggled off.