@SolidGame_basic: Classic Tomb Raider was an attempt to adapt the 2D Prince of Persia formula into 3D. Classic TR had well-designed puzzles, levels, and platforming, but was let down by issues like slow pacing, tank controls and weak combat. Issues which were eventually resolved by the true 3D POP successor, Sands of Time, which made classic TR obsolete.
More recent games you could compare Prince of Persia to are games that it influenced, e.g Assassin's Creed, Batman Arkham, Uncharted, God of War, Spider-Man, Mirror's Edge, etc. These games have borrowed mechanics from Prince of Persia, e.g. its parkour platforming mechanics and melee combat system. For example, the so-called "Batman Arkham" melee combat system originated from Sands of Time. However, POP's core puzzle-platforming gameplay is still unique. Which is probably more comparable to Portal 2.
The Sands of Time doesn't really need a remake. It's still a great game today. Unless you mean a HD remaster. In which case, there was a HD version for the PS3, and the PC version can already be played in HD.
Sands of Time is on sale for $3 and change on GOG. Can't go wrong at that price lol. I picked it up.
That's a sweet offer.
One issue I have is the distinction between good story and good storytelling. Some of my votes are more about one or the other, not necessarily both, and I could probably write a looong list if it's a matter of appreciating storytelling mechanics regardless of whether the story itself is noteworthy (e.g., I didn't love the Pillars of Eternity story, but the game had a thoughtful way of delivering it)
I'd add a third category: characterization.
Maybe it could fall under storytelling, but I'd class it as its own thing. I'd argue that the characterization is the most important part of a story and/or storytelling.