Sure! On the front end it's HTML, CSS, and jQuery - no hip JS frameworks nor complex build pipelines. Backend is node and express. The dominos API is https://github.com/RIAEvangelist/node-dominos-pizza-api, as mentioned below. Everything is hosted in AWS on Elastic Beanstalk on a few t2.micro instances.
Then you'll absolutely love their "strategy statement".
"Reach the largest daily audience in the world by connecting everyone to their world via our information sharing and distribution platform products and be one of the top revenue generating Internet companies in the world."
Sadly, because tweetstorms are getting more and more popular. I think it gives people a superiority feeling ("aha, look at how much brilliance I can convey in so few characters!"), whereas the reader is just frustrated.
I doubt they would do this as it would reduce their already razor thin margins. And there is little incentive for them. I don't think many people would be willing to shop like that either, since the mindset of a purchase like that is sort of the anti-Prime - "just let it arrive whenever", as opposed guaranteed 2 day air. Long story short I just don't see that as a very Amazon-like move. That said, I would probably use it once or twice a year if such a feature existed.
Not sure if this fits the bill, but I've always found the openness of Thoughtbot quite impressive. They have an open "playbook" describing how they operate and develop. http://playbook.thoughtbot.com/
Looks like a managed enterprisey version of Google Inbox/Mailbox app/Evomail. Probably does some natural language processing and keeps track of appointments, due dates, action items, etc.