What's special about over
60 specifically?
AARP full membership is available to those 50 and over, and there's a type of AARP membership that's available to even younger.
Most hotels that have senior rates (when not tied to AARP), those don't kick in until you're 62, not 60.
The USA National Parks (and more) lifetime pass for seniors isn't available until you're 62, not 60.
Airlines have generally gotten rid of senior fares AFAIK. (That's the answer I always seem to see when someone occasionally asks in some airline forum about senior fares.)
And what exactly are you looking for, discounts, or other stuff? (There's nothing else I can think of besides discounts that suddenly changes about travel when you hit 50 or 62 or whatever, at least for independent -- not group -- travelers.)