Ruin Explorer
Legend
When is "used to have"? The original Tieflings had more choice than literally any other Tieflings since. Technically that continued in 3.XE, it just lost all the charts and completely changed Tiefling personalities, saying they were all super creepy and almost-certain to be evil, and giving them a penalty to CHA (!?!??), and depicted all Tieflings as basically Cambions without wings. Then 4E changed things again and that's when they got limited most appearance-wise, because it gave them a unified appearance. 5E followed on from 4E where, but SCAG technically opened the doors to varied Tieflings again.Tieflings also used to have way less choice of how they were depicted.
On the grand scale of things, 5E is in the middle in terms of how much choice you have over Tiefling depictions.
The problem with Aasimars goes back to 2E, I note. Unlike Tieflings, they weren't designed by Zeb Cook, so have much more of a basic conceptualization and visualization, and unfortunately that has followed them around. Daevas were a much better conceptualization and more like something that would actually have fit in Zeb Cook's Planescape, I'd suggest.