I'd be quite happy for the aasimar to change their name to 'nephilim'. Amongst other things, it would be more resonant with gamers today, especially those familiar with Diablo 3.
I used Nephilim as my term for all Planetouched.
Then I reworked Nephilim to have racial class levels a la Monte Cook's Arcana Unearthed/Evolved, to maximize flexibility and utility.