Edit, doublepost, can be removed.

A game that does everything right while being woefully underappreciated: Snake Pass. What a game. Misic - perfection. Environment - perfection. Level design, story, characters, gameplay - perfection. And it manages this perfection while being absolutely innovative: a 3d platformer without enemies and without a jump. It is an absolutely timeless great that not many have even heared about.

I am a harsh critic who has played around 5000ish games, and the only game that I consider perfect is The Legend of Zelda (NES).  It just does everything right, and on top of that it goes above and beyond by including a second quest.  I am still in awe about how good this game is.

Honorable Mentions
Final Fantasy Tactics: The Ivalice Chronicles - I've always really loved the O.G. game, but it had a few obvious flaws like needing to save before you fight a long string of battles that end in a night impossible boss, and consequently you have to start the whole game over if you can't beat said boss.  Well I think the most recent version fixed that and all of the other problems.  Add in that FFT has an insane amount of replay value and the recent version has voice acting and improved graphics.  This might actually be a perfect game now.

Final Fantasy IX - While my favorite mainline FF is VII, the only flaw in IX I can think of is requiring a game of Tetra Master to progress.  Other than that the game is perfect.

Darn that’s some high praise! And here I am looking for a turn-based tactics RPG.

The original Legend of Zelda is a great choice!

But we need to know more about these 5,000(!) games. That has to be some kind of record. How did you accomplish that??

As a Tactics Advance and A2 fanatic, I always wanted to get my hands on the OG. Which I did once the Ivalice Chronicles released. But no matter how much I tried to enjoy it... I just couldn't. Getting into generic battles with no story behind them to level up and learn new abilities got very old very quickly to me. Also, coming from the portable entries, where you have so many jobs AND races made the world feel a bit bland. I appreciate the more mature and complex plot and characters, but that wasn't enough for me to keep going.

I can think of how things could be improved in every game I've played and I'm sure most of you can too, including your all-time favorites.

Respectfully, have you played Yoshi’s Island? Legitimately perfect in every way. Same goes for Majora’s Mask and Mario Odyssey. Flawless gaming experiences.

I love Yoshi's Island, but baby Mario is very annoying and the game isn't that challenging, to be honest. It's also good enough that I would have liked it to be longer, maybe a couple of additional worlds. See what I mean?

Majora's Mask is not a good game, on the other hand. Sidequest hell with a lot of asset reuse.

5000 is a very rough estimate.  (I didn't sit down and count each one individually, lol.)  However, let me try to give you an idea how one person can play so many games.

1) I'm old.

2)  A whole lot of those games come from playing in the 80's.  A) Arcades, you can try a whole bunch of games for $0.25 each, and the early 80's especially had a ton of different games in the arcades.  B)  Consoles, I had 30+ games for the Atari 2600, and 50+ NES games, but that is just the tip of the iceberg.  I could go to a friend's house and they also had a bunch of games, and whenever I went over there I could try out a bunch of their games (and they of course tried out mine when they came to my place).  Most 80's games were action games that you could enjoy just playing them for several minutes or so.  There were several people in my neighborhood who each had their collection of games, and I'd sometimes swap games with someone for a while if they took a while to play.  Even during the crash, I might visit someone who had an Apple II or C64 and they would have a big stack of games.  (Piracy was super common in the 80's.)

3)  Blockbuster.  Going from the NES era to the PS2 era, it was fairly common for me to rent a game weekly.

4)  Games used to be a whole lot shorter, especially before the PS1 era, and there are still a fair amount of PS1 games which you can just pick up and play for several minutes.

5) Retro gaming.  You can often buy a bunch of retro games in bulk.  And again, older games as well as handheld games tend to be shorter and the type you can just pick up and play for a few minutes to see how much you like it.  The Wii is another good console for this (although I still need to go through most of the Wii games.)

In general, when you realize games used to be a lot shorter, and I've been gaming for a very long time, you realize how it's possible for someone to have played several thousand games.  Games that last 100+ hours are a lot more common now than they used to be.  And I certainly didn't beat thousands of games when a lot of games can't really be beaten.  (How do you beat Pac-Man?)  I come from an era, where it was fairly easy to access a bunch of new games in any given year.