Asus is probably the lowest brand name I would go with. I actually have an Asus LCD monitor which I bought from 2009. It is considered a Tier 2 company as opposed to Tier 1 companies like Dell, NEC or Samsung. I wouldn't touch Tier 3 or lower brand names like Hanns-G, Hannspree, or AOC.
Just be aware that a Tier 1 company can still make a crap product. They're just less likely to do so.
If you are looking at a display that's larger than 30", then you are looking at a HDTV. Dynex is Best Buy's house brand. I generally don't buy a house brand electronic products.