It's not super old, but the original BioShock is one of those games that you can point to and say "this is art". It's an amazing exploration of Ann Rand, capitalism, addiction, art, deregulation, unions, and greed, all with the most beautiful art deco levels. The mechanics of the powers you get are tied into the themes and your choices of how to acquire them are in themselves a statement of the self vs others. It's well thought out from the ground up, from aesthetic choices to narrative ones, and one of the few games that absolutely nails it.
I enjoy the gameplay of the second one even better, though I feel the attempt to explore collectivism doesn't fit as well by using the same motifs as the first one, the dlc Minerva's Den has the most tragic exploration of identity and the singularity out there.
The third is fun to play but I think they were trying to explore too much of everything at once, between America, racism, classism, quantum states and everything else, and unlike the first two, the mechanics of the plasmids didn't really lend anything to the story. The dlc is fun, but rewrote a poignant lesson from the base game and watered it down.
I'll add that while the remastered version of BioShock looks and plays somewhat better, the "improved" lighting completely destroys the original atmosphere. Keep that in mind if you're trying this game for the first time.