Like many of you i played Halo CE Anniversary and got this pain the ass achievement using the Bandana skull and perhaps the save and quit/dashboard method. Bandana still works. Thanks to Breadly Weapon for the confirmation.
Alas it does not work on the xbox one because of the resume feature. I spent a good 4 hours tonight trying to do this just to fail on the easy last door. I continued playing and found that you can still use the old save and quit method to lighten the burden. Whenever you are close to dying or died BEFORE re spawning just save and quit to return to the campaign menu.
From there just resume game and youll be back to your last checkpoint with no death recorded. Please note that the bandanna can currently be used for this and other misc achievements although it is possible without it.
Note that when I was doing this i only died twice. Both times I saved and quit the INSTANT I was killed. When I resumed the deaths did not register as when I finished the level I looked at the score that popped up and checked my deaths. It read 0 and then the achievement popped making me number 8 with a 47 ratio. Come get it fast while its high!
It appears that, like its Halo CE Anniversary counterpart, this achievement is voided in co op if either person dies so it is best done solo. Thanks to Darkened Night for bringing this to light.