Open source the app. There's a huge lacking in good web based open source mail clients. Fill it. Offer a pay-for premium hosted version. Have us pay for service, not software.
If you released this, assuming it doesn't suck balls, I'd be running it immediately. I'm currently using Rackspace for my email hosting; check them out. They're good, good be better. ;)
There is definatly a lot of service you could provide even if the app is open source. As GP said, hosting and infrastructure, but also better spam filtering, taking not get and remove domains from spam lists (SPF, DomainKeys, checking your domain and custom domains against spam lists and notifying the owner, &c).
Also, a nice export to S3 or a tar.gz or something would be nice if you were a private service.
I already backup all incoming mail as JSON on my Dropbox and plan to do the same periodically as MBOX. I'm not entirely sure what to do with the JSON, though. It's a "leftover" from my first prototype, where I stored ALL DATA on Dropbox.
If you released this, assuming it doesn't suck balls, I'd be running it immediately. I'm currently using Rackspace for my email hosting; check them out. They're good, good be better. ;)