Meh, I've had offers. Probably the most expensive was the Visa Black at 495/year. Didn't look like I'd get that much use from their services though, so I didn't bother. Also Amex sends me something once in a while but I don't think I'd use it enough for the fees to be worthwhile.
Closest thing I have now is a Chase Visa Signature, which combines a traditional line of credit with an Amex-style "no-preset-limit" structure. No annual fee, 1% cash back (there are 5% cashback categories too, but I usually don't bother to sign up). The usual list of other features I never use(concierge, special event ticket offers, etc).
Chase Visa Signature