IMO the Asian stuff has been good enough for a long while now. As a hobbyist, my primary combo wrench set for years was a Kragen house brand set about 7-12mm. I've filled in the larger stuff with other FLAPS house brands (NAPA, CarQuest).
The only higher end thing I bought out of necessity was a snappy 6 pointed combo wrench for a lower shock bolt on a Volvo that I was afraid to round off (rust isn't really a thing here and Euro cars leak enough oil). My impulse buys are a mixed bag, but I paid full price for a set of SK stubby deep offset wrenches. I don't think they necessarily grip any better than the Chinesium, but they certainly fit in places the bigger wrenches wouldn't.
Before I finally broke down and bought a "mid level" Craftsman toolbox for the kitchen I kept most of my tools in a bag (often left in the trunk). As it turns out, Craftsman chrome peels just as easily as Hazet chrome.
Were I starting out now, I'd take a long hard look at HF's Taiwanese offerings. The last of the Craftsman USA was pretty poor quality IMO, and HF has far better service than Sears. You could certainly go up market with GearWrench or Carlyle. There are pretty much no CarQuests around here so getting warranty replacements is a pain. There are plenty of NAPAs around, but they only stock a small selection of Carlyle stuff.