This 3-bedroom Carthay Circle bungalow, built in 1923, is for sale according to the sign out front, although the listing does not appear on the MLS. (Bank-owned?) It last sold in 1998 for $370,000, but you can expect to pay significantly more than that now.
The façade is a bit non-descript but leans longingly in the direction of the neo-classical; the hipped roof is a nice touch (but lose those wood shakes) and the pedimented stoop is possibly a remodel—à la Paul Williams—from several decades ago. Those prison bars definitely have to go.
I did a couple of quick Photoshop sketches, pushing the detailing into positive neo-classical territory. Perhaps I've been reading too much Quinlan Terry. A boulder fell into the yard during the renovation process, so I decided to keep it.
The (very long) sides of the house, with their irregular fenestration, would be a challenge to translate into a classical idiom.
If you're interested, here's who to call: