The meals in economy class on Asiana are much better than what you would find on US domestic carriers.
That being said, they are not gourmet by any means. There is an Asian and Western option.

For the first meal, I chose the chicken entrée. It was sitting atop a small puddle of Velveeta cheese like sauce. There were a few vegetables thrown in, along with potatoes that would have gone a long way with a crunchy texture. It was served with a shrimp salad that had way too much mayonnaise for my taste. Dessert came in the form of a chocolate pudding cake. Like most Asian desserts, cakes in particular, it was not overly sweet. I did not eat the roll.

The pre-landing meal consisted of chicken in marinara sauce, paired with penne pasta in a thick cream sauce. A couple pieces of broccoli was also thrown into the mix. A small salad was also served that was heavy on the mayonnaise, therefore I did not eat it. A plain cake was served, which was somewhat moist. Again, I did not eat the roll.
The meals in economy class on Asiana airlines is more than passable. There is no comparison between what you would find on a US domestic carrier. Portion sizes were also considerably larger than what you would find on US domestic carriers.