This is what I have now: a 16' wide tilt-up, one-piece garage door, that doesn't provide a whole lot of headroom - but my prius and myself are fine underneath it ;-) 
So what is my problem? Just as I don't like trim indoor, I dislike the kind of "picture frame" that is created by the trim around the garage door. Another problem is the huge surface that the door makes.
I thought of putting in a glass garage door. They come in prices from $5100 all the way up to $15000, I guess with corresponding quality. A glass garage door would only work if the entryway and the guest BR window matched in patterns. Only the more expensive versions offer such corresponding doors. And I am not 100% sure I think a glass garage door is the best way to add style to my pseudo Eichler.
What other ideas can I think of? Well, Bob's Los Altos home had a differently "framed" garage face; a bit like Neil Jackson's... an emphasis on vertical geometry by making the wall between the top of the door and the roof a continuation of the garage door, and by de-emphasizing the sides of the door and make the lines continue from floor to roof.
Here is a sketch of the idea, as a before and after:
I wonder if we can just remove the "decorative" trim around the current garage door, fix the siding (and in the process close the wide gap on the right side). I could possibly add some 1x1 moulding strips to create a slightly more exciting pattern - though I wonder if it will be adding to much weight to an already heavy door?
I have not been able to find any local garage doors of this style, found a couple Australian ones though. Here is a sketch of a simple cedar plank door: