I'm gonna go with EarthBound and its sequel Mother 3.

Most of my favourite games are older ones, to be fair. Games like the SMB series, a whole bunch of other Mario titles, Smash Bros, Okami, Zelda series, Resident Evil 4, Chrono Trigger, Donkey Kong Country 2, etc

Sega Genesis

Phantasy Star 2

Shining Force 1&2

Shadow Dancer

Flashback a Quest for Identity

Out of this World

Road Rash 2

Street Fighter 2 (with the 6 button controller, this was a superior game to it's SNES counterpart)

Gunstar Heroes

Sega Master System

Phantasy Star

Ninja Gaiden

NES

Cobra Triangle

Castlevania

Rad Racer

Super Mario Bros. 3

Legend of Zelda

SNES

Super Mario RPG

Chrono Trigger

Super Mario World 2: Yoshi's island

Tetris Attack

Super Castlevania IV

Star Fox

Super Metroid

Sunset Riders

Sega Game Gear

Shinobi 2: The Silent Fury

Jurassic Park

Sonic Chaos

Phantasy Star Adventue

Shining Force: The Sword of Hajya

Lemmings

GB/GBA

Link's Awakening (GB)

Mario Golf (GB)

Mega Man Xtreme (GB)

Donkey Kong Land (GB)

Wario Land (GB)

Super Mario DX (GB)

Castlevania: Aria of Sorrow (GBA)

Mario & Luigi Superstar Saga (GBA)

Shining Force Resurrection of the Dark Dragon (GBA)

Sonic Advance (GBA)

Wario Ware Inc. (GBA)

GT Advance (GBA)

Castlevania: Circle of the Moon (GBA)