Siblings and I -
NES - Late to the party, but really Super Mario Bros. was something we'd all played by the time we got it and was a large part of it.
SNES - A bit late again, but Super Mario World was awesome.
N64 - Super Mario 64 because it was Super Mario 64.
After getting a job -
I bought the Dreamcast on launch day to play Soul Calibur.
I bought my PS2 to play Gran Turismo 3
I bought my PS3 specifically to play Gran Turismo 5 since I loved 1-4. It was a terrible choice and is the least-played viceo gaming device I own this side of my Virtual Boy
I put together a PC for Fallout 4 which I had already played on console, specifically to get into modding.
I bought the Switch for Breath of the Wild