First game of third gen: Super Mario Bros./Duck Hunt
Last game of third gen: Astyanax

First game of the fourth gen: Super Mario World
Last game of fourth gen: Super Mario RPG (?)

First game of fifth gen: Super Mario 64
Last game of fifth gen: Vagrant Story (or Chrono Cross)

First game of sixth gen: Soul Calibur
Last game of sixth gen: Tomb Raider Anniversary (PS2)

First game of seventh gen: Feel The Magic XX/XY (DS)
First home console game: Kameo: Elements of Power
Last game before buying 8th gen: South Park: The Stick of Truth

First game of Eighth Gen: The Legend of Zelda: Ocarina's of Time 3D
First game of Eighth Gen: New Super Mario Bros UU



Like someone else said, even after a new gen had begun, I went back and bought older games. Old consoles need love, too!

Hard to remember my past... I think:

Earthworm Jim 2 on Genesis/Mega Drive.
MegaMan x6 on PS1 & Pokemon Stadium 2 on N64.
Kingdom Hearts 2 on PS2, Twilight Princess on GCN & Doom 3 on Xbox.

Handhelds were just a waste, when i feel in the mood.

The end.

Smash Bros. 4 on Wii U