For this round, I'm going to snatch the (probably) most obvious character away first, so sorry in advance, everyone .
Moriko Morioka from Recovery of an MMO Junkie
Moriko epitomizes social anxiety. Back when she used to work a normal job, she would almost freak out at contact with other people. Even talking over the phone made her a nervous wreck. Eventually, she did find a sort-of friend in her former work liaison Koiwai.
Ever since Moriko quit her job, she's been living the NEET lifestyle to its fullest - gaming hard all day, every day. And yet, there's a desire stirring within her to connect with people in real life, which manifests after meeting Yuta Sakurai (and his online game avatar Lily).
Lisa Mishima from Terror in Resonance
Living alone with her mother, Lisa at school is regularly bullied due to her introverted and quiet nature. This nature makes her keep her problems to herself and resent the outside world. She is also quite clumsy in trying to show she can be helpful.