I play what I feel like playing. Old games are included in this.
Go into my room, open a drawer, there's a working Atari 2600 with an adaptor. Look around the place, and while the PS3 and PS4 are on my desk along with a laptop, there's a working PS2 and PSX (the original), perfectly fine. Look around to my dresser, see the Gameboy Color I bought just so I could play Tetris and Wario Land.
I had an NES at my grandmother's place before she passed away. I had a Sega Genesis before I sold it, but later I emulated Sega, SNES, and NES to catch up on all the old games I never got to, but always wanted to. Bomberman? Love it. Megaman? Love it. I'm whiz at any Bomberman game, Missle Command, and Maze Craze. During high school, I set unbeatable scores for Dig Dug on all the computers.
I had, at some time, played a Tron arcade machine (along with other games at the arcade), and years later sought to play it on PC. Found it, played it, and for the first time beat it. Do I play old games? Yes, I do.