My former bank was so secure that they wouldn't even take *deposit* money from me!
In all seriousness, I walked into the main office branch of my bank in the 1990's with a $15,000 certified check from another bank, and they refused to accept it for deposit into my SAVINGS account. No, I wasn't trying to get cash out of the deal, I truly wanted to save the money back when they were still paying interest on savings accounts. I had to cash the certified check at the issuing bank, and then carry fifteen large to my own bank as cash to deposit it.
On the revenge side, depositing fifteen large in cash triggers some sort of mandatory federal paperwork to document the transaction, so I had the last laugh as the snotty teller spent the next half hour doing the extra paperwork just minutes before the bank was scheduled to close.....