It's a toss-up between 1994 and 2001. I got Tie Fighter as a Christmas present from my parents on the former, and a GameCube with Luigi's Mansion, Star Wars: Rogue Leader and Super Smash Bros. Melee on the latter.
While I was more excited about the GameCube at the time (because hey, brand-new Nintendo console), I find myself looking back on 1994 more fondly. It's probably due to the impact Tie Fighter had on my eight-year old, Star Wars obsessed self. I didn't even know there was a sequel to X-Wing (remember, no internet back then), so I was blown away seeing this brand new Star Wars game...one that had you serve the Empire, no less! While I relegated the GameCube to the closet over time and eventually left it with my parents (my dad loves him some Smash Bros.), I still fire up Tie Fighter every now and then.
Honorable mention goes to 2002, when I got Metroid Prime and Jedi Outcast.