By remake I mean update it with todays technology. I would pick X-Men Legends II Rise of Apocalypse.
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Resident Evil 2. If Capcom remade it like they did the Resident Evil 1 remake, I would be happy. Update the graphics, restore some cut content, change the locations and puzzles to keep things fresh and new. But most importantly, do not butcher the gameplay; keep the camera angles, keep ammo and resources scarce, encourage exploration (don't hold the player's hand), etc.