I placed an order for the first time with ASOS two weeks ago, and instantly regretted it when I saw all the horrible reviews. Fortunately, my experienced with ASOS ended up being lovely!
I bought 4 pieces of clothing (2 tops, a pair of jeans, and leggings) which they told me would take around a week to ship. All of my purchases ended up coming 2 days early and were all fairly nice quality. I was a little concerned with the pants because I bought them size 'tall' but I am 5'11 and sometimes 'tall' can still be too short. However, the pants fit great and were by-far long enough. Now I live in Chicago so I am not sure if living in an urban city helped my order arrive faster, but overall I really enjoyed shopping with ASOS!