Here's a couple of sites I made while at my last job that I put a lot more thought into the design process than I normally do. I'm especially proud of the CM site, since I tried quite a few new things such as a modified version of Superfish for the menus and dynamic stylesheets using PHP:

Creative Money Check out my alter ego on the 'meet the team' section (at the bottom)

Thorsdale

And these are a few sites which I enjoy the designs of:

Well Placed Pixels

Although not strictly web based, well placed pixels shows a wide range of pretty UI's which I occasionally 'borrow' elements from.

Are you a Human?

As well as being an amazing alternate to CAPTCHAs, the are you a human website also has a lovely, simple design with an awesome footer to boot.

Wired

Simple, aesthetically pleasing and gives you the info you want without having to look for it. Exactly what you want from a news site. Makes good use of white space.

I'm in a web design class right now, so don't expect anything brilliant. This is probably our 2nd month into it, and he's teaching us how to do frames & forms with HTML 4.1 right now. Hopefully my designs will get better once I get into CSS or something later on.

Here's the project I've been doing for frames.

@Noon daaaaamn man thats amazing!!!! im pretty clueless about it though. i did try making one but it was a fail...