Short answer — both are good, but pick based on what matters to you:

• If you want fast delivery, easy/free returns, and local Australian brands: shop at THE ICONIC. It has Australian warehouses, same‑day/same‑evening delivery in major metros, a large range of Aussie/in‑house labels (Atmos & Here, AERE, etc.), and a generally customer‑friendly 30‑day free-change‑of‑mind return process. (News.com.au)

• If you want the widest international variety, more frequent trend/newness from global labels and strong size options (petite, tall, Curve/Plus): shop ASOS. ASOS offers a very large catalogue, extensive size ranges (including Curve), and competitive prices on international brands — but expect longer delivery times to Australia (shipments from overseas) and a returns fee deducted from refunds in many cases. (marieclaire.com.au)

Quick pros & cons (Australia-focused)

• THE ICONIC

  • Pros: Faster local delivery (same‑day in metros), free standard returns within 30 days, easy local customer service, strong stable of Australian/in‑house brands, sustainable “Considered” edits. (News.com.au)
  • Cons: Slightly smaller selection of some international labels compared with ASOS; prices on some global brands can be higher.

• ASOS

  • Pros: Massive international selection, frequent sales, strong size‑range options (Curve/petite/tall), often better for finding specific UK/European-only items. (marieclaire.com.au)
  • Cons: Longer shipping to Australia (international fulfilment), returns handling differs (ASOS charges a flat AUD return fee / process times), and delivery/returns timelines can be slower than local retailers. (ASOS.com)

Which to choose (short guidance)

• Choose THE ICONIC if you live in Australia, want speed, free/easier returns and to support or buy local brands.
• Choose ASOS if you’re after a very specific international brand/style or need broad size options not available locally and you don’t mind slower shipping and a return fee.

If you want, I can:

• Check which of a specific item (or brand) is cheaper or faster on each site right now.
• Compare delivery cost/times for your postcode and a particular product.