We are doing the same at http://mailparser.io and I can confirm that there is a real need for a solution like that. A lot of our existing customers use mailparser.io in combination with Zapier. Those customers can now directly use the parser of Zapier. Which sucks for us but which is surely great for the customer and Zapier ... :-)

One caveat though, a lot of use-cases are not the static "contact form" email where nothing moves except the values. We get a lot of requests for parsing lists, tables etc. Curious how the chosen approach works on this kind of parsing jobs.