I just typed out a whole long response and lost it. *sigh*
Head over to Zara often. I've been there 5 times since it opened and there was new stock each time. Zara continues to be one of my very favourite stores in the world. And add Club Monaco and J.Crew to the list of non-designer stuff.
You can buy any designer that tickles your fancy online. Is there a reason you prefer Team Store?
HL and Vince is always worth a look, seeing as your style has a quieter element to it too. McQueen, Laveer, Opening Ceremony, Derek Lam, Stella McCartney and Alexander Wang, The Kooples, La Garconne, Balmain, Rick Owens and Rodarte always come to mind when I think of your style. Then there's Preen and Zero & Cornejo, Christopher Kane, Thakoon, Dries van Noten, Mary Katrantzoe, Commes des Garcon, Junya Watanabe, and Proenza Schouler - that also make me think of your style - but they're very pricey. Maybe Marni - although maybe too whimsical? (Excuse the spelling here - my arms are sore).
Personally, I like 3.1 Phillip Lim, Theory, Jil Sander, Alexander Wang, Rebecca Taylor, Celine, some Marc Jacobs, Stella McCartney, Salvatore Ferragamo, Burberry, Bally, some Jason Wu, Kate Spade, Paul Smith, Valentino, Max Mara, Smythe, Karen Millen, Hugo Boss, Anne Fontaine, Reiss, Maje, Sandro and Chanel. I haven't liked Rag & Bone for a while - so we're broken up at the moment.
I hope that helps. xo