I am at work so no pictures but I would say based on timeline(ish)..
1. SMB/DH. I was super young but I remember everyone at the house gathering around the tv to watch and play.
2. A Link to the Past - I would play this at my older sister's and just got so absorbed into it
3. Link's Awakening - this may be the 1st game I bought with my own money, not sure whether it was that or my birthday but it's just so good.
4. FF VI - I actually played this and decided no thanks originally, but then my buddy told me the Magitech armor part is just in the intro and not the entire game. This is my #1 game.
5. Mario 64 - I actually wasn't that into the game when it was new because my hype was Star Wars Shadows o the Empire (Hoth was sooo good), however Mario is my #1 N64 game.
6. Super Mario Kart - the original. This game invented the genre and is sooo good.
7. Secret of Mana - loved this game when I was younger. I actually created my eBay account back in 2002 to buy this game. Used a money order because I was so young and didn't have a credit card haha.
8. Super Metroid - this was possibly the 1st proper Metroidvania game that I played, and the genre is simply incredible.
9. Ikaruga. This is the best shooter ever and really got me into the genre.
10. Zelda BotW - not my #1 game but I think the best game ever created to this point.
Honourable mentions:
Super C - man, my buddy and I used to play this probably every time we drank and hung at his place. We could beat it using zero continues
God of War (PS4) - best game on the console. Gorgeous and awesome.
Symphony of the Night - you know why it deserves a spot.
Twinkle Star Sprites - am sure other games should outrank this one but it's probably my #1 Neo Geo game, so just wanted to mention it. Nothing else really to compare it to but certainly recommend you play it.
Tomba! - holy crap this is a great game. I only ever played through it the once, but it is one I really wish they would put on a virtual console.
I wouldn't say that each one mentioned is THE game as there are many others that came to mind, but these are the ones I decided to mention. My answer tomorrow might have some other choices, but you get an idea :).