I just started getting the same problem. I back up two machines to a 6 week old 2 TB Time Capsule, and iMac and a MacBook Air (both fully upgraded 10.7.1 and with disks verified and permissions repaired). The error dialog comes up on the Air, but not the iMac (yet). So first, does this imply that all backups the TC is handling are corrupt, or only the one that gets reported to? Second, is the corruption at the FILE level (i.e. the backup image), or at the DISK level? A disk problem would suggest a much more serious problem that requires more drastic attention and a more permanent solution (repairing the disk, or worse, having to replace it).
Sorry, Apple, but this is just a terribly confusing and completely unhelpful message. And wiping out all my backup data on a new box is UNACCEPTABLE. That's kind of the entire point of using a Time Capsule and Time Machine, isn't it? Keeping your data protected? I really thought buying a Time Capsule and using Time Machine was going to simplify my life, but so far it's been nothing but trouble. Some of the problems:
-- Corrupt Time Machine backups (meaning, basically, you have no reliable backups at all).
-- Occasionally drops Wifi client connections and needs to be reset (and there's no convenient switch or reset button to do that, you have to yank the power cord and plug it back in). My older Airport Extreme basestation never had this problem.
-- TM backups over WiFi from the MacBook Air always back up a minimum of 20 GB, even if nothing changed since the last backup, and the backups cause the fans to spin up and the machine to run hot until it's done.
-- Sometimes gets confused when either machine (MBA or iMac) sleeps while a backup is running (which it seems it almost always is). Sometimes the machines get so wonky and unresponsive they require a reboot.
-- TC will sometimes refuse to show up in the Airport Utility list, even with a strong connection.
-- Using AirDisk mode is completely useless and REALLY messes up the Time Capsule. After wrestling with that, I did a complete reset and of the TC started from scratch, and only use it for TM backups.