They reimburse me $200/year in airline expenses (I use Southwest primarily, so I just buy Southwest gift cards which get reimbursed, and use them for flights), reimburse me for global entry every few years, top tier status at Hertz, Hilton, and Starwood, free Boingo account, free access to Amex lounges in a few major airports, rental car insurance coverage, etc.
http://thepointsguy.com/2016/01/maximizing-amex-platinum-in-...
I'm old and busy; I'll pay for covenience in life, which is why I've kept the card up to this point.
EDIT: Almost forgot: I have had the need to pay for a friend to be airlifted out of a central american country due to a medical emergency, and Amex was the only card willing to auth a low five figure amount with just a phone call to pay the helicopter fee. I have yet to find another financial provider who'll do that.