Talking here about Docs, Gmail and so on. Somehow it became embarrassing for a nerd to straight out clone the competition, much like AbiWord and suchlike once did, simply in the name of freedom. Nowadays we have to compete on "sexy" innovative site designs and related sundry crap, and how many cloud "services" we integrate with.
I'll keep hoping for this resurgence, in the meantime I'll continue privately working toward cloning some of these services myself, until such a time as there is an established community for me to join. We basically need something like the (early day) GNOME foundation, but for the web.
autonomo.us is one mostly silent place to talk about it.
You may be right that there needs to be a (I think you might mean GNU project, not GNOME foundation?), but for the web. My guess as to why there hasn't been one is that the task is far messier, and there are a lot more choices about implementation. The usual thought following this is that free services need to federate rather than be part of the same project. But this thought could be wrong.
Half the battle isn't producing the software, it's ticking all the boxes that make people "go cloud" in the first place – you never need to run software update for Google Docs, you simply don't need to care about it.
What I'd love to see is a Ximian-styled system where you could subscribe to some release cycle (bleeding edge, 6 months behind, long term support), and behind the scenes a vast team of idealist monkeys worked to provide some of that cloud comfort – at the very lest, security updates.
The concept can be extended to quite elaborate proportions. But the low hanging fruit - let an admin create user accounts, let users login painlessly, and figure out how to make updates work safely & painlessly - and I believe half the war would already be won.
Priv.ly has an interesting approach to this somewhat analogous to the above: http://www.kickstarter.com/projects/229630898/protect-your-c...
Tent is a protocol for distributed social networking that I'm very optimistic about. You can message me at https://elimisteve.tent.is (sign up at tent.is).
Or run your own xmpp service, if you are a business/company. I personally use prosody. Works great.