I will keep the list simple here! Although my list will cover First Person Shooter (FPS), Third Person Shooter, Soccer, Racing and "Hack & Slash" games. I hate the later on the list though.
Note that my list will include only 2 from each genre and it's not upto 70% correct so please feel free to contribute.
The list is also influenced by the great game story.
I'll be saying my likes and hates on the games and please I will be expecting your contributions and corrections. So let's get straight to business.

FPS

1. MODERN COMBAT 5
Graphics are fantastic. The environments are detailed, cup, objects, and papers. The story line is also great. Different missions. But I'm not a fan of compulsory online games. I'm not saying I don't play games online, I'm saying I hate it when you have to go online for the game to be playable. Blood looks like paint here and more like blood in modern combat 4. Overall, the graphics are insane.

2. NOVA 3 (NEAR ORBIT VANGUARD ALLIANCE 3)
My favourite any day, anytime. Although NOVA 3 is old, it's still GPU demanding. Great story line. Spicy environments. I won't say much here.

TPS

1. BROTHERS IN ARMS 3
Great graphics. Same engine with Modern Combat 5. Takes you to world war 2. I like the part you see your enemies in flames.

2. OVERKILL 3
This game is intense. U don't have much time or space to run around. Your enemies are not far. You must constantly upgrade yourself because your enemies gets more aggressive and lethal and tasks gets crazy as you progress. The graphics are great. But I hate the space. You don't have much control over moving around. You can't even runaway. So it's a load, shoot, hide and swap game.

SOCCER

1. PES 2017
I won't say much here. Great graphics, play options and commentary. Footballers are without names on their shirt though.

2. FIFA 16
I prefer this over FIFA MOBILE. Great graphics too. Large game community.

RACING

1. ASPHALT 8
If you like good graphics and car stunts. If you don't like the stunts.

2. NEED FOR SPEED MOST WANTED
If you don't like the stunts then go with this or REAL RACING 3.

HACK & SLASH (I don't like them)

1. WILD BLOOD
Good graphics, great story.

2. GOD FIRE
Borrowed heavily from GOD OF WAR. Great graphics too

It appears you're talking about mobile games, your title should reflect that. Since, these games are certainly not the games with the most insane graphics of all time...

cao:
It appears you're talking about mobile games, your title should reflect that. Since, these games are certainly not the games with the most insane graphics of all time...

Ouch! You are right. Sorry

op is clearly talking abt andriod game