In no particular order:

Resident Evil
I wasn't into 3D games. They looked ugly compared to sprites, controls weren't tight and loading took long in comparison.
Enter RE2. Background were impressive, controls took time to used to but the game was engaging. I didn't care much about horror either but I was into story about an evil corporation and the location. I love main PS1 games along with their remakes. Have deep respect for 4 but hate latter half and just killing the payoff of post-Veronica. 5 and 6 were fun on their own and both have their own issues. Never touching 7 or 8 because 1st person but I know people (will) love them.
They are fun and challenging games that have good characters.
REmake1, RE2, RE3, REmake 2 are my favorites but others are also worth to play.

Megaman
Megaman 2 is legendary but 3 was the one I soloed. It has slowdowns but they were just amazing for a pre-teen kid. Taught me not to give up. X series is the ones I love a bit more because of dash and wall kick. Got good with X3 that I spent so much time with it.
Also love other spin-offs.
X1-4, Battle Network series, Legends, MM2-4, Zero series. All are good.

Yakuza
Didn't get into it until Huber's high praise along with Ben's. Started from Zero and jumped into 6 when it came out. Beat all 7 of them
this year. Love the story as a whole. Sadly 3 really needed Kiwami treatment because that game is super rough to go through gameplay wise. and 5 didn't have a focus thus making 6 a single protagonist was a right decision.
Zero is top tier followed by 6. 4 is also good and Kiwami 1 and 2 after that. 5 has some good stuff and so do 3. It's still worth going through all of them.

Phoenix Wright
1st 3 are amazing and pretty much a complete arc. Sadly spin-off of Miles Edgeworth never had its sequel translated which i also worth going through and different enough from main series. Love the characters and how the story is well tied together.

Metal Gear Solid
MGS1 is a masterpiece (Twin Snakes can F*** off). The plot twists and crazy stuff it had just pulls you in and grabs you until the end and "The Best Is Yet To Come" kicks in. MGS2 is my favorite for it being more futuristic and being bonkers on its own. It was ahead of its time. Enemies working as a team and not being totally idiots was what also elevated the stakes.
All of them have their strenght. 1&2 are a must. So is 3 though the laughter really ruined part of it and possibly one of the best moments in videogaming. 4 was a bit weird and sadly still PS3 exclusive? 5 has amazing gameplay, possibly the best in 3rd person but the "open world" ruined what MGS were known for. Solid storytelling that was taking a backseat. Still a fun game.
Peace Walker is also worth playing through.

Sonic the Hedgehog
Sonic 1-3 and Mania are amazing and a proof they are a great rival for Mario franchise while also having their own strenght.
Sadly series is a rollercoaster otherwise. But rarely a franchise that has a long history is all killers no fillers.

Valkyria Chronicles
Love the story in 1st one, enjoyed co-op in 2nd and how it handled sidestories, I have 3rd one (need to mod my PSP) and love 4th's evolution in gameplay even if it has some cringe moments. The gameplay is a star of its own. Bonds.

Uncharted
Love dialogues and quips. Characters are enjoyable though only interesting villain was Rafe which is why UC4 is my favorite along with the settings. People might not like it having many slow moments but as a whole I just loved it. The Lost Legacy is also great. 3 was my least liked one but it wasn't bad. 1-3 had a mechanic or a thing that just annoyed me and wish they weren't there. Big fan of Indiana Jones movies so this was closest we have for them.

Super Mario
A franchise that has become bigger than itself. So many games but SMB3, SMW and SMK are enough to make it into a list. A Mario game is almost always solid whether I care to play them or not. Personally Sonic and Mario are equal to me.

Street Fighter
SFII was my childhood,enjoyed so much of it (end credits is fire). Got hooked to it early and thanks to X-men vs SF at the arcades I got more into Alpha/Zero series, other vs. games and spin-offs..
Chun-Li, Ryu and Ken(especially being different starting from Alpha series) became my favorite characters thanks to other media (SFII animated movie is the best vg movie IMHO)bringing them more into life.

Shoutout to franchises that I loved but didn't make it to my top 10:
Final Fantasy, The Legend of Zelda, Suikoden, Breath of Fire, Shenmue, Onimusha, The Legend of Heroes, Dark Souls, Gran Turismo and Gravity Rush

Ghost of Tsushima

I'm not really into open world games and ones that lack in variations in their mission structure.
The game evens out by having a lot of tools and skills you learn that it's enough to make encounters more enjoyable. Combat is great (though sometimes unresponsive) and some fights were really challenging and evolves the more you progress. The side stuff to earn more stuff are nice not to mention tales that are highlight of the game alongside the view and atmosphere. If you look closely it doesn't have the details that TLoU2 has or is technically impressive, A.I. is pretty bad most of the time and there have been lots of bugs during my time with it.
But my goodness is it beautiful. The scenery, the variation of the map of the areas and what time or weather you have are almost all photo opportunities.
It has the vibe that makes it stand out from generic looking areas seen in other games that are either boring ass desert or forest that you can't tell what game those are from.
It's amazing how fast you load back in after dying. Sometimes too fast that you aren't ready in some cases. Also this game has amazing cinematic moments that just makes my jaw drop. This game made me feel good most of the time that I just got lost in the moment. Just relaxing and enjoying the moment where ever I went.
Like it has its issues but none excluding forcing you to change to effective stance was bothering me enough to enjoy it. Not even mediocre stealth that I didn't use much unless necessary.

Final Score: 9/10
-Haik[yu]u
"Cutting bamboo,
I rest on hot springs,
pet foxes too."

My list:

#1 Ace Attorney Investigations: Miles Edgeworth

#2 Metal Gear Solid: Peace Walker
Surprised Peace Walker didn't make the list. Sure it was on handheld but it was such an amazing game with interesting mechanics.

#3 Lost Planet 2
This game was so much fun but there was a level pretty early on that required a good team play which I sometimes failed because someone got kicked out and made it frustrating to get through. It had some serious hidden stuff that really elevated the game if you knew how to do it. Also taught my cousin a skill that got him a world record at the time on one of time attack stages but has probably been beaten since you can cheat on it somehow.
This is probably one of my favorite co-op game simply because there is not many like it.

#4 Vanquish

HMs:
Gran Turismo 5
Didn't play enough of it but I always loved GT games

Valkyria Chronicles II
Co-op lets you basically have an extra character so it was pretty easy but soloing was fine too. I loved the classes that split to pick which speciality to go for so it was really fun. Escort missions were the big minus but I didn't mind the cliché high school setting outside of awful laugh from protagonist Avan.

Yakuza 3

Mafia II
This was a really good game and I like some music from that era. Big fan of Dean Martin. Sadly lack of side stuff and freedom puts it behind other stuff

@tokyoslim I played Yakuza 3 on HD collection. While I loved Revelations and some story moments, the gameplay was clunky and easily the worst with enemies blocking too much. It was a PS3 game that still felt like a PS2 game. I did like guns doing more damage than other 2 on the collection which were bad.

Vanquish is amazing game. Only dowsides are its lenght=enemy/environment variations=it wasn't enough.
Also you had to pay if you wanted that special weapons or something. Tri-weapon pack. Think it was a pre-order bonus and later could be bought

The Last of Us 2

I didn't like the 1st one so recapped it before playing this. I still hate encountering enemies in these. As much as I agree that there are too many resources, the game forcefully limits your inventory which I hate even more considering there is possibility to have so many fights and end up fighting a boss without really anything. Gameplay has improved quite a bit but I felt I played this like an MGS game instead of like a ND game.

The game is long but it had evenly good moments I liked and has lots of Uncharted 4 in it. ND is amazing giving you beautiful game with animations and subtle things. It is technically an impressive game and wanted to give them another chance but I just don't like this type of game that annoys more than pleases.
I didn't mind too much on a story but I didn't hate it nor love it. It is what it is. And I did tear up couple of times.

Final Score: 7.5
-American Football Roller Coaster-

Sad but I expected Ace Attourney: Investigations to rank low if at all since it was already late in DS life cycle and didn't sell well. I love it because it is so different from main games and has Edgeworth as protagonist along with good old Gumshoe and "a thief". Also it being more detective/puzzle is a bonus.

I watched 5 minutes of Scott Pilgrim vs the World movie and it felt like a waste of time which I have never done to any other movie. The game is good but never finished it because my friends levels always reset and it was bothersome to even go through things again so there's that

90% gameplay
10% story

A good gameplay makes me stick with a game easier than the story which I can just watch on YT. Of course I'm more invested if I had played it myself.
And it varies by genre too since some "gameplays" are just reading and picking choices while others is just all about timing like rythm games that has more to do with music so sound based "gameplay".

Like I didn't like The Last of Us for the most part since gameplay is lesser than Uncharted that has doable gameplay but at least has that verticality among others and really hated the crafting in that game.
Sekiro was just monotonous with finishers and mikiri counter was just too easy to pull of that it was getting repetitive which is why I didn't like it either.

And yet I like games that have lesser gameplay than either of them. So it comes down to the tools the game provides and whether I like to use them in the game itself is the gameplay judgment.
Storywise I appreciate if it has smart writing but I also like campy/cheesy stuff. Even bad dialogue doesn't bother me much so a good story is just a bonus for me most of the time.
Probably why I go toward more japanese games than western games. Japan for long time and still majority has mentality to have games more focused on fun factor while western is more on immersion. Of course nowadays there are less focus from some people and indie games are good at giving you more variations.

I mostly play games I'm interested in or at least had a decent impression that I want to try them so I skip plenty of stuff because life is short and have no time to play all of them while also having a huge backlog.

I was awed when I learned the paths were connected to each other in the World. It is simply amazing from level design point. I co-oped with my cousin a lot in Demon's but sadly this game went backwards in this. Why it's only 3rd on my list is simple. About half of the bosses sucked as they were just boring. Also Blight town and the swamp area. Yikes that framerate.
Best fight is easily in DLC. My cousin saw me beating him and it was glorious.

Uncharted 3 has some amazing set pieces but it also has couple of things I don't like making it my least liked in franchise. If you have played CoD: Black Ops you will know what I hate and is my most hated thing in a game. It feels cheap and is a huge annoyance.