I recently started a subscription with Carbonite, following an exchange on this forum about backups. Though there was in initial hiccup (they were having a problem with their free-trial server or something), they corrected it and tracked me down to let me know it was resolved. I did the trial for two weeks, mostly while I was away on vacation. Over this time it backed up ~35 GB worth of my data to their cloud servers (speed bottleneck = my ISP upload speed).
While I was away, I had a fairly urgent need for data in one of the files (a frequent traveler number). I downloaded their Android app and got the info I needed. While meeting with some family on my trip, the subject of rockets came up and I used the Android app to show off my rocket picture library, which had already uploaded by then so was accessible.
I've used it any number of times since then for remote access to data, either via my android or on another computer (though, only computers I trust, and I wipe cookies and stuff after I'm done).
I'm not paranoid about data security. Like anyone who uses an ISP for anything, we're already exposed. Carbonite doesn't significantly increase that exposure. For the security minded, remember to vote for pro-net-neutrality candidates this fall (it's not a party-line vote, so do your research!).
The Carbonite backup makes me more comfortable about not worrying about losing my data, though I do fairly regularly (every few months) backup and stick the backup in a safe deposit box. Knowing that my exposure now is on the order of a day's data instead of months is comforting to me.
Marc