%200 run. Complete everything that is on the SOCIAL CLUB checklist.
69/69 Missions 61/61 Hobbies and Pastimes 58/58 Strangers and Freaks 60/60 Random Events (Simeon's is only available before the Jewel Store Heist) 30/30 Misc EDIT: This should also include every Singleplayer achievement except "A New Perspective" and all of the Rockstar Editor Achievements.
Currently doing this on a casual playthrough and it's really fun. Same rules as 100% would apply.
This is very similar to the existing category "All Missions" except that only requires 42/61 Hobbies and 16 Misc (because you need 100% completion to unlock "The Last One"). A category requiring achievements is hard to make because you only get those once and it'll be hard to verify runs after the first attempt.