Note that most 22" monitors offer a resolution of only 1680x1050 with very few offering 1920x1080.
The 23" Asus may be the best bet and is certainly the "sweet spot" for resolution, price, and specs for a +/- 22" 1080p monitor.
If you want to splurge a little, then check out the Hanns-G HZ281HPB 27.5'' 3ms Full HD 1080P HDMI WideScreen LCD Monitor. This one might be out of your stated price range but offers an excellent resolution to performance to price ratio. I personally have this Hanns-G and attest that it is an excellent monitor, great for both watching movies and gaming. It truly is hard to beat for the price and specs.