Mingjia: nice place with lots of food, market, shops, street artists, etc. not sure if it is still the same those are my 15years old memory. I love the Belgium mussel restaurant there, used to get bucks of mussels with the yummy chips (with mayonnaise), good beer selection too (not that I am a beer person)
Mingjia: Used to live in the students accommodation nearby. Lovely place with interesting exhibitions.
Mingjia: lots of musical selections if you are a fun of musical. I remember the ticketek (or sth) used to sell discount tickets at certain time of the day so you can get pretty good deals! Also, some theatre used to be that you can queue 1 hour before the show to get discounted tickets. :)
Katherine: A lovely building and interesting exhibitions. It's worth looking what temporary photographic exhibitions are on.
Liya: Get your bargaining skills on! Also second Borough Market, go with an empty stomach & leave with a food baby. A feast for all the senses ;)