No Zara or Mango
I live in NYC now and I don't recall seeing AngL or Anat B but I am assuming they carry similar styles as Zara and Mango. So I'll list some stores that carry similar merchandise but varying price points.
Crabtree Valley Mall in Raleigh has H&M, Bebe, and Bevello. The Belk there carries a lot of stylish brands, more so than the typical Belk.
The Streets at Southpoint in Durham has Nordstrom and the rack, Anthropologie / Urban Outfitters, Bebe, and Arden B.
Cameron Village in Raleigh has Beanie + Cecil, Bevello, SoHo, Uniquities, Wardrobbe. There may be some more but I haven't been in a while. There is also North Hills in Raleigh also has some similar stores but I haven't been there in a long time.
The Tanger outlets in Mebane does have BCBG and Michael Kors. There are other stores but not really trendy.