I just got my new one from Chase. $500 ATM limit, $3,000 daily purchase limit.
A few years ago, I was at a gun show and needed $1,000 cash (wasn't planning on buying anything originally, but couldn't pass this up). Knowing that I wouldn't be able to pull that much cash out of the ATM on-site, I called the Chase number on the back of my card.
"Hey, I need to pull $1,000 out. Can you authorize that one time?"
"Let me check over your account history...Okay, sure. Are you standing at the ATM now?"
"Okay, you're authorized for a one-time ATM withdrawal of $1,000. You're still subject to the machine's max per transaction (and their fees), but you'll be able to do it."
"Anything else we can help you with?"
Chase rocks, as far as I'm concerned.