Like the OP I'm wondering what people think my next move should be. Here's where I stand (x2 meaning my wife and I both have the card):

UMP Visa; 125k UMP miles
Amex Plat x2; 200k MR points between us.
Chase Sapphire x2; 100k UR points between us.

I'm thinking the AA 75k cards are the way to go but am curious if there's a reason to do something else instead?

We travel to Asia semi-regularly (every couple of years or so), somewhere else internationally about once every 10-12 months, and domestically a handful of times per year. Upcoming trips in 2012 so far are Texas, Seattle, possibly Hawaii, and India; maybe Paris or London. We travel from the NYC area.