Let's get the basics of out of the way first. Short of a full-on Bluepoint-style remake, you aren't going to get much better than this.
If you're gaming on Xbox One X, much of the game can even play out at 60 frames per second. After the disappointment of the Switch conversion, PlayStation 4, PC and Xbox One users get the deluxe treatment: there's carefully updated, more detail-rich artwork, a totally revamped lighting model, a switch to physically-based rendering, temporal anti-aliasing/upscaling and a profound improvement in performance. You've got to give credit where it's due - against all expectations, the new remaster of Saints Row The Third isn't just good, it's very special indeed.