Data is easily pulled from the web and displayed on the LCD with a few simple parameters. The data is then passed to the Arduino (yes, i know this would work without the Arduino but it makes it easier to hook up the LCD and maybe someday add more sensors/knobs/etc.)
The code is posted on GitHub:
https://github.com/varind/Web-To-LCD
I'm still toying with ideas for enclosures and for now I have two working prototypes pictured below. One on a protoboard using a Nano and one self-contained unit using a Pro Mini.
Here are some examples of the display:
Weather:

Weather in a big font:

Terrestrial-solar conditions for amateur radio:

Amateur radio band conditions:

News:

Stocks:

Stocks (big font):

First build on protoboard:

Second build:

Another view of the second build:
www.varind.com