Everyone has a birthday. And as such, every year, it's celebrated, or celebrated late if your friends and family are pretty busy. Some videogames also celebrate birthdays, so I'm going to list all the videogames I've played that celebrate birthdays.
- Pokémon 3DS Games - The only ones in the 3DS line I can confirm is Pokémon Alpha Sapphire/Omega Ruby, Pokémon Sun/Moon, and Pokémon Ultra Sun/Ultra Moon as I do not have Pokémon X/Y. On your birthday, the next time you enter a Pokémon Center, You get an equivalent of a surprise party, but without any birthday gifts for your trainer. The Pokémon Center's BGM changes too for your entire birthday.
- Metal Gear Solid V: The Phantom Pain - I never done it when I borrowed my brother's PS3 copy of the game, but on the birthdate you've set in the beginning of the game, when you return to Mother Base, the entire base gives (not) Big Boss a surprise party. Oh and if you have Quiet in your base, she'll snipe (not) Big Boss' cigar lit.
- Gran Turismo 6 (Before Servers got shut down) - When you start Gran Turismo 6, and you aren't in a suspended race, you get a free car from the year you were born. Sadly, since the servers are long since shutdown, you can no longer receive birthday presents from this game anymore... :'(