Now that I've got a Combined Profile Flair, I notice that it just links to StackExchange.com. I could link it to my StackOverflow profile, but it'd be nice if StackExchange had a simple profile page for me - maybe one that just showed a list of my badges from the other sites.
Amongst the other flair alternatives there is SOREPV2 which provides an aggregate flair with links to respective profiles.
Here is an example of your combined and ranked flair, sorep style, with links to your profiles.
I am considering adding image output but this would eliminate ability to link out to profiles.
In any case, just another option.