You can't even begin to compare Delta to Qatar, Singapore, Emirates, Korean,
Swiss, Cathay, Eva or the like. And they still get notably left behind by KLM, Lufthansa, Asiana, ANA, SAS, Virgin Atlantic or Etihad. And those are just the ones I've flown on. I am sure there are others like Thai and Qantas. Delta isn't in the same league as any of those.
After a couple hundred flights on Delta, United and American, it feels like I have had just as many problems with Delta as I have with the other two equally lousy U.S. airlines.
I was on a crappy Air France flight a couple weeks ago, and I can't help but think that it reminded me of Delta; only at least AF has good food and (I am told) good wine.