Different strokes for different folks. I have both and this is my take.
I do give AE Platinum an edge with its legendary CSR reputation. The Centurion Lounges are pretty good from what I heard, too bad none at my regular airports. I did call Chase before I headed out of the country and the CSR was American, not foreigner with Susie as her name.
Here is a list that I think the Chase new card is better (IMO):
1. $300 vs. $200 plus you can use almost anything travel related for your credit with Chase, unlike AE.
2. The 100K bonus was higher than AE. I haven't seen any 100K points on AE except business card account. Plus Chase points is better value (redeem power) than AE imo.
Amex has had a fair number of 100k personal card sign up bonuses and both my wife and I have gotten one under those promotions. I think they had that 2 times last year?
The Amex has a couple of other benefits as well:
-SPG gold status which is now Marriott gold as well. Still remains to see how the merger shakes out though as Marriott is a Chase partner and SPG is an Amex partner. A big potential benefit is that SPG gold allows you to join their partnership program with Delta and earn extra Delta points in addition to all your normal SPG points on SPG hotel stays (This isn't like the hilton program where you get less hilton points if you also want to get airline miles)
-Hilton Gold status
-FHR program which is superior to both the Visa and Chase hotel programs. Better benefits, more participants and, often, a lower price point
-Delta lounge access if flying on Delta (Useful for me since DTW is a Delta fortress hub and has 0 priority pass lounges)
-More proven medical evacuation policy. The reserve offers something very similar but no reports of how smooth the process actually is. Having been an early adopter of the preferred card and spending 6 months trying to get a delayed luggage reimbursement claim paid I would be cautious about how well this works for a bit (The delayed luggage process has vastly improved since then). There is a huge additional consideration here as well. For US Platinum card holders you do not need to charge your trip to the card to be able to use this. You, your spouse\DP and eligible dependents get this coverage simply by you being a card member. With Chase you must use charge at least a portion of your trip to the card to have medical evacuation coverage.
Chase has a huge edge in phone based CSR support though. All US based call centers and no automated menus is a nice perk compared to the Platinum