I've read the chapter about Liz and Silica, they're both nice chapters. I like liz's more though, the moment when the Ainkrad was cleared and it was written in other people pov, in this case Liz's, makes it rather interesting. To see the glory moment from other people eyes is like a bonus.
Spoiler for 7:
and volume 7 is so..... sad
though it's a good story. Asuna developed quite rapidly in this one, thanks to Yuuki.
the best quote from Kirito "No matter fast a magic is, they're no faster than an anti-materiel rifle's bullet"
one thing I really miss though, where is Shinon!!!!!????