If you are a G cup I really don't see how you could wear swimwear without cup sizes, so generic just won't work. If you go a few sizes up, it won't offer any support.
I like the stripes but I don't think the cut is too flattering, seems to flatten the boobs. Check eBay for your size, there's quite a bit. If you like the Fatface one then what about Fantasie Seychelles, Paradise Bay, Mui, Antigua or Margarita? Or Freya Wild SUn, Mamba, Way out west, Electro beach, Tropicool?