[jaybna]

Closest any company has come to a decent web version of Access is Intuit Quickbase. But it is priced for enterprise and not hobbiest. Lacks full SQL but can do some pretty amazing things. Also has reasonable REST-like API. I built a PoC data backend for an iPhone app really easily.

[aofstad]

We also recently released an early version of the Airtable API. It provides an API that's specific to each database you've configured in the app: https://airtable.com https://airtable.com/api

[cdcarter]

Another option is of course Salesforce/Force.com. Point and click, incredible customization potential, easy to build UI and reports, point-and-click business processes, and very extensible by code if your admins can't accomplish something.

Still very expensive, but free for non-profits!