Die Hard: Batman Edition
Circling back after Arkham City and Knight, there are some parts of Batman: Arkham Asylum that show their age a little. Some maneuvering and takedown tactics don't exist yet, and the combat controls aren't quite as solid as they became in the sequels.
But it's still a damned fine game today, and I'd say it still does two things better than its followers did: having a really moody, self-contained storyline; and not spraying an absurd amount of The Riddler's bullshit all over the map.
Yeah, it holds up pretty well.