I posted this over on Reddit too, if you're getting a sense of déjà vu. I love playing through the story, but it's frustrating having to keep a list of quests up to make sure that I'm doing everything in the "right" order. Some things look like side quests but lead into a full story, and some things look like the start of something big, only to just be a one off quest. On my next character I'm also going to do the alliance and main quests the same way they were before One Tamriel, which I wasn't around to experience. Constantly going out of the game to check what to do next isn't all that great and feels more like I'm completing a checklist. A cohesive checklist with an understandable narrative, but a checklist nonetheless.
I'd love an option, either when creating a character or in the settings (or both!), to remove most floating quest giver icons, or temporarily disable the quests entirely, and play through the stories how they were intended to be presented. Side quests can stay, anything that's considered standalone with no references to other story content needn't be affected (or give them their own 'Show/Hide/Only Side Quests' toggle alongside the chronological story one, while you're at it). Just give quests prerequisites before they pop up. I'm slowly growing the urge to look into how to create addons for the game to make something similar, even if all I can do is move my current checklist into the game.
The only real issue I can think of with a Story Mode option like this would be if you have something like Summerset, but no other DLCs, in which case a simple warning of "You're skipping ahead of story content you don't own," would suffice.