[ryguytilidie]

Not exactly what the OP is talking about, but I do consulting and have ~5 gmail accounts.

My FAVORITE feature ever is: "huh. You just woke up on a Tuesday and need to get to work? Well, we've logged you out of all your accounts and need you to log in again."

The worst.

[notreallyserio]

"We have detected unusual activity on your account --Nothing has changed in the last 7 days. Please sign in again."