The "no server" movement definitely seems to be gathering steam, with Firebase and Parse on the data side and Lambda (augmented with JAWS and others) on the computation side. Am excited to see what this area will bring, in particular due to the combination of scalable hosting and containerisation.
(Plug - we're working on StackHut (http://www.stackhut.com) in the "no server" space that provides a language-agnostic Lambda-like platform (currently JS/ES6 and Python with Ruby soon) that's powered by Docker and is accessible via JSON-RPC over HTTP. Would love to hear your thoughts on this and the "no server" space in general.)