I like department stores mainly, Brown Thomas, House Of Fraser, Arnotts, Harvey Nicholas where I live. Also I shop at Diesel, River Island, Zara, Gant, whatever has nice stock at the time
I also go to Penneys (Primark outside Ireland) and TK Maxx to save money.
Urban Outfitters
Forever 21
Foot Locker
Zumiez (I only buy the good stuff, not the pretentious mess they have )
H&M
Polo Ralph Lauren Factory Store
Fossil (their watches & wallets)
Jack & Jones
ASOS
Topman
+ A bunch of other stuff from random online stores I'm too lazy to list