Is this a widespread issue with Gmail?
There are companies that have been emailing me contracts for years now. I've gotten multiple divorce records, tax returns, all sorts of confidential information. I guess that's what all those legal disclaimers in the footer are for, because someone could do a ton of damage with the information I've gotten.
(I am not a lawyer.)
Until somebody finally listened to my responses of "These aren't the droids you're looking for", I was privy to lots of intriguing drama.
Sometimes it's funny because people send me Mails trying to recover their account but I tell them to speak to the companies because I have no way of verification that I'm actually turning over something to the right party, so I don't do it.
I have a 7-letter gmail address. Middle initial (I don't use my first name), last name. Every so often I'll get information mailed to me that's supposed to reach Terry Myname in Illinois, Tim Myname in Iowa, Tammy Myname in Florida, Todd Myname in Wisconsin, etc. A lot of times it's just mundane (oooh, I could cancel someone's Bath & Body Works order!) but on occasion it's legal paperwork.
I do at least try to get the important ones sorted out -- I reply with "it appears you're trying to reach [name] in [city] but you've actually reached [me] in [my city]. If you have a phone number for [name], you should give them a call and ask for their correct e-mail address." On occasion that even works :D
I regularly get people applying for loans, who send me A LOT of personal information, because of a typo in a spam mail. Contacting the responsible loan company, who looks pretty fake and shady, didn't lead to any success.
Once had a gentlemen in his 70ies contact me about my profile on a dating site for seniors and get lots of car advertisement addressed to someone with my initials, who sometimes does eBanking, is 40+ years married to a wife whoms father died 3 years ago, etc. etc.
Needless to say, I love mail filters.
It can be fun too though, like when someone signs up for a dating site with your email and you can login to what is effectively your account.
I had the same problem as you with a large bank... kept getting emails with someone else's balance in them. I kept responding and trying to get the bank's attention, but nothing. Eventually I tweeted at them publicly with a description of the problem and that got them to clear it up pretty quickly. ;)