One that comes to mind is Saints Row The Third. While I kinda enjoyed it at first, I wound up hating the game so much that I literally made a YT comment claiming that it was the most disappointing thing since The Phantom Menace. I was very much a member of the "They ruined the series with their godawful "wacky" new direction" camp. But over the next couple years I chilled the hell out, and decided to give it another try, and was shocked to find myself having a blast. It's now a game I really like - in fact, when I want to play Saints Row, I'll just play this game and SR IV, as I enjoy them way more than the first two. But that's not a slam against those games, it's just the fact that I played them so damn much back in the day that they're just so stale to me these days. But I'd like to erase the experience of my first playthrough so I could approach the game without expectations and that SR2 obsession and take it on its own merits the first time.
On that note, I guess you could add Saints Row 2. It's a really good game with a ton of content, but like I said, I sunk so many hours into this thing that it's practically unplayable for me these days. It just feels so stale and blah, because I've beat it to damn death. I'd love to erase all that and be able to play the game without that "god I've played this thing a million times, why aren't I playing something else?" feeling.
Similarly, there's GTA V, but that's a double-edged sword. On one hand, I absolutely loved my first playthrough, it was one of the highlights of my 2013 (which was a sh*t year for me personally, but honestly, after 2016, 2013 doesn't seem that bad at all) and I have lots of nostalgia for it. But on the other hand, the flaws started to present themselves, and I wound up disliking the game quite a bit due to various reasons (namely that it's a step down from IV in a lot of ways, and the story and tone have some glaring flaws). I've come to appreciate the game for what it is a lot more over time, but at the same time, that baggage does kind of weigh things down. And I played it so much that, while it's nowhere near as stale-feeling as SR2, it isn't quite as exciting for me. So on one hand, I'd love to just erase all that baggage and go into it with a open mind (and the knowledge that "Hey, you won't like this as much as GTA IV, they removed lots of little features, and you're gonna have some problems with the story and tone. Other than that, enjoy!"), taking the game on its own merits. But on the other, I had a great time at the midnight release and loved my first playthrough, and my first time playing the game, my jaw was on the floor. So I've definitely got some nostalgia for that whole experience. Sorry if this sounds cheesy, but the whole thing just had "that thing, that magic" about it. So I dunno.
As for the "I want to experience it for the first time again"... Life is Strange, Mother 3 and The Last of Us. Three incredible games, in their own ways, with some of my favorite and most moving stories in any genre. I'd love to go through those and hit those emotional beats for the first time all over again.